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1 - <p>138 Learners</p>

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2 <p>Last updated on<strong>August 11, 2025</strong></p>

3 <p>The GCF is the largest number that can divide two or more numbers without leaving any remainder. GCF is used to share the items equally, to group or arrange items, and schedule events. In this topic, we will learn about the GCF of 40 and 24.</p>

4 <h2>What is the GCF of 40 and 24?</h2>

5 <p>The<a>greatest common factor</a><a>of</a>40 and 24 is 8. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>

6 <p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1. The GCF of two numbers cannot be negative because divisors are always positive.</p>

7 <h2>How to find the GCF of 40 and 24?</h2>

8 <p>To find the GCF of 40 and 24, a few methods are described below -</p>

9 <ol><li>Listing Factors</li>

10 <li>Prime Factorization</li>

11 <li>Long Division Method / by Euclidean Algorithm</li>

12 </ol><h2>GCF of 40 and 24 by Using Listing of factors</h2>

13 <p>Steps to find the GCF of 40 and 24 using the listing of<a>factors</a>:</p>

14 <p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40.</p>

15 <p>Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.</p>

16 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 40 and 24: 1, 2, 4, 8.</p>

17 <p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 8. The GCF of 40 and 24 is 8.</p>

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20 <h2>GCF of 40 and 24 Using Prime Factorization</h2>

19 <h2>GCF of 40 and 24 Using Prime Factorization</h2>

21 <p>To find the GCF of 40 and 24 using the Prime Factorization Method, follow these steps:</p>

20 <p>To find the GCF of 40 and 24 using the Prime Factorization Method, follow these steps:</p>

22 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 40: 40 = 2 × 2 × 2 × 5 = 2³ × 5</p>

21 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 40: 40 = 2 × 2 × 2 × 5 = 2³ × 5</p>

23 <p>Prime Factors of 24: 24 = 2 × 2 × 2 × 3 = 2³ × 3</p>

22 <p>Prime Factors of 24: 24 = 2 × 2 × 2 × 3 = 2³ × 3</p>

24 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 × 2 × 2 = 2³</p>

23 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 × 2 × 2 = 2³</p>

25 <p><strong>Step 3:</strong>Multiply the common prime factors 2³ = 8. The Greatest Common Factor of 40 and 24 is 8.</p>

24 <p><strong>Step 3:</strong>Multiply the common prime factors 2³ = 8. The Greatest Common Factor of 40 and 24 is 8.</p>

26 <h2>GCF of 40 and 24 Using Division Method or Euclidean Algorithm Method</h2>

25 <h2>GCF of 40 and 24 Using Division Method or Euclidean Algorithm Method</h2>

27 <p>Find the GCF of 40 and 24 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

26 <p>Find the GCF of 40 and 24 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

28 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 40 by 24 40 ÷ 24 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 40 - (24×1) = 16 The remainder is 16, not zero, so continue the process</p>

27 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 40 by 24 40 ÷ 24 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 40 - (24×1) = 16 The remainder is 16, not zero, so continue the process</p>

29 <p><strong>Step 2:</strong>Now divide the previous divisor (24) by the previous remainder (16) Divide 24 by 16 24 ÷ 16 = 1 (quotient), remainder = 24 - (16×1) = 8</p>

28 <p><strong>Step 2:</strong>Now divide the previous divisor (24) by the previous remainder (16) Divide 24 by 16 24 ÷ 16 = 1 (quotient), remainder = 24 - (16×1) = 8</p>

30 <p><strong>Step 3:</strong>Now divide the previous divisor (16) by the previous remainder (8) Divide 16 by 8 16 ÷ 8 = 2 (quotient), remainder = 16 - (8×2) = 0</p>

29 <p><strong>Step 3:</strong>Now divide the previous divisor (16) by the previous remainder (8) Divide 16 by 8 16 ÷ 8 = 2 (quotient), remainder = 16 - (8×2) = 0</p>

31 <p>The remainder is zero, so the divisor will become the GCF. The GCF of 40 and 24 is 8.</p>

30 <p>The remainder is zero, so the divisor will become the GCF. The GCF of 40 and 24 is 8.</p>

32 <h2>Common Mistakes and How to Avoid Them in GCF of 40 and 24</h2>

31 <h2>Common Mistakes and How to Avoid Them in GCF of 40 and 24</h2>

33 <p>Finding the GCF of 40 and 24 seems simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

32 <p>Finding the GCF of 40 and 24 seems simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

34 <h3>Problem 1</h3>

33 <h3>Problem 1</h3>

35 <p>A chef has 40 apples and 24 oranges. She wants to create fruit baskets with the largest number of pieces in each basket. How many pieces will be in each basket?</p>

34 <p>A chef has 40 apples and 24 oranges. She wants to create fruit baskets with the largest number of pieces in each basket. How many pieces will be in each basket?</p>

36 <p>Okay, lets begin</p>

35 <p>Okay, lets begin</p>

37 <p>We should find the GCF of 40 and 24 GCF of 40 and 24 2³ = 8. There are 8 equal baskets 40 ÷ 8 = 5 24 ÷ 8 = 3 There will be 8 baskets, and each basket gets 5 apples and 3 oranges.</p>

36 <p>We should find the GCF of 40 and 24 GCF of 40 and 24 2³ = 8. There are 8 equal baskets 40 ÷ 8 = 5 24 ÷ 8 = 3 There will be 8 baskets, and each basket gets 5 apples and 3 oranges.</p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

39 <p>As the GCF of 40 and 24 is 8, the chef can make 8 baskets. Now divide 40 and 24 by 8. Each basket gets 5 apples and 3 oranges.</p>

38 <p>As the GCF of 40 and 24 is 8, the chef can make 8 baskets. Now divide 40 and 24 by 8. Each basket gets 5 apples and 3 oranges.</p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

40 <h3>Problem 2</h3>

42 <p>A school has 40 desks and 24 chairs. They want to arrange them in rows with the same number of items in each row, using the largest possible number of items per row. How many items will be in each row?</p>

41 <p>A school has 40 desks and 24 chairs. They want to arrange them in rows with the same number of items in each row, using the largest possible number of items per row. How many items will be in each row?</p>

43 <p>Okay, lets begin</p>

42 <p>Okay, lets begin</p>

44 <p>GCF of 40 and 24 2³ = 8. So each row will have 8 items.</p>

43 <p>GCF of 40 and 24 2³ = 8. So each row will have 8 items.</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

46 <p>There are 40 desks and 24 chairs. To find the total number of items in each row, we should find the GCF of 40 and 24. There will be 8 items in each row.</p>

45 <p>There are 40 desks and 24 chairs. To find the total number of items in each row, we should find the GCF of 40 and 24. There will be 8 items in each row.</p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 3</h3>

47 <h3>Problem 3</h3>

49 <p>A florist has 40 meters of red ribbon and 24 meters of blue ribbon. She wants to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

48 <p>A florist has 40 meters of red ribbon and 24 meters of blue ribbon. She wants to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

50 <p>Okay, lets begin</p>

49 <p>Okay, lets begin</p>

51 <p>For calculating the longest equal length, we have to calculate the GCF of 40 and 24 The GCF of 40 and 24 2³ = 8. The ribbon is 8 meters long.</p>

50 <p>For calculating the longest equal length, we have to calculate the GCF of 40 and 24 The GCF of 40 and 24 2³ = 8. The ribbon is 8 meters long.</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>For calculating the longest length of the ribbon first we need to calculate the GCF of 40 and 24 which is 8. The length of each piece of the ribbon will be 8 meters.</p>

52 <p>For calculating the longest length of the ribbon first we need to calculate the GCF of 40 and 24 which is 8. The length of each piece of the ribbon will be 8 meters.</p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h3>Problem 4</h3>

54 <h3>Problem 4</h3>

56 <p>A carpenter has two wooden planks, one 40 cm long and the other 24 cm long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>

55 <p>A carpenter has two wooden planks, one 40 cm long and the other 24 cm long. He wants to cut them into the longest possible equal pieces, without any wood left over. What should be the length of each piece?</p>

57 <p>Okay, lets begin</p>

56 <p>Okay, lets begin</p>

58 <p>The carpenter needs the longest piece of wood GCF of 40 and 24 2³ = 8. The longest length of each piece is 8 cm.</p>

57 <p>The carpenter needs the longest piece of wood GCF of 40 and 24 2³ = 8. The longest length of each piece is 8 cm.</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <p>To find the longest length of each piece of the two wooden planks, 40 cm and 24 cm, respectively. We have to find the GCF of 40 and 24, which is 8 cm. The longest length of each piece is 8 cm.</p>

59 <p>To find the longest length of each piece of the two wooden planks, 40 cm and 24 cm, respectively. We have to find the GCF of 40 and 24, which is 8 cm. The longest length of each piece is 8 cm.</p>

61 <p>Well explained 👍</p>

60 <p>Well explained 👍</p>

62 <h3>Problem 5</h3>

61 <h3>Problem 5</h3>

63 <p>If the GCF of 40 and ‘a’ is 8, and the LCM is 120. Find ‘a’.</p>

62 <p>If the GCF of 40 and ‘a’ is 8, and the LCM is 120. Find ‘a’.</p>

64 <p>Okay, lets begin</p>

63 <p>Okay, lets begin</p>

65 <p>The value of ‘a’ is 24.</p>

64 <p>The value of ‘a’ is 24.</p>

66 <h3>Explanation</h3>

65 <h3>Explanation</h3>

67 <p>GCF × LCM = product of the numbers 8 × 120 = 40 × a 960 = 40a a = 960 ÷ 40 = 24</p>

66 <p>GCF × LCM = product of the numbers 8 × 120 = 40 × a 960 = 40a a = 960 ÷ 40 = 24</p>

68 <p>Well explained 👍</p>

67 <p>Well explained 👍</p>

69 <h2>FAQs on the Greatest Common Factor of 40 and 24</h2>

68 <h2>FAQs on the Greatest Common Factor of 40 and 24</h2>

70 <h3>1.What is the LCM of 40 and 24?</h3>

69 <h3>1.What is the LCM of 40 and 24?</h3>

71 <p>The LCM of 40 and 24 is 120.</p>

70 <p>The LCM of 40 and 24 is 120.</p>

72 <h3>2.Is 40 divisible by 5?</h3>

71 <h3>2.Is 40 divisible by 5?</h3>

73 <p>Yes, 40 is divisible by 5 because it ends in a 0.</p>

72 <p>Yes, 40 is divisible by 5 because it ends in a 0.</p>

74 <h3>3.What will be the GCF of any two prime numbers?</h3>

73 <h3>3.What will be the GCF of any two prime numbers?</h3>

75 <p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>

74 <p>The common factor of<a>prime numbers</a>is 1 and the number itself. Since 1 is the only common factor of any two prime numbers, it is said to be the GCF of any two prime numbers.</p>

76 <h3>4.What is the prime factorization of 24?</h3>

75 <h3>4.What is the prime factorization of 24?</h3>

77 <p>The prime factorization of 24 is 2³ × 3.</p>

76 <p>The prime factorization of 24 is 2³ × 3.</p>

78 <h3>5.Are 40 and 24 prime numbers?</h3>

77 <h3>5.Are 40 and 24 prime numbers?</h3>

79 <p>No, 40 and 24 are not prime numbers because both of them have more than two factors.</p>

78 <p>No, 40 and 24 are not prime numbers because both of them have more than two factors.</p>

80 <h2>Important Glossaries for GCF of 40 and 24</h2>

79 <h2>Important Glossaries for GCF of 40 and 24</h2>

81 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 8 are 1, 2, 4, and 8.</li>

80 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 8 are 1, 2, 4, and 8.</li>

82 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.</li>

81 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.</li>

83 </ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 18 are 2 and 3.</li>

82 </ul><ul><li><strong>Prime Factors:</strong>These are the factors of a number that are prime numbers and divide the given number completely. For example, the prime factors of 18 are 2 and 3.</li>

84 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 10 is divided by 3, the remainder is 1 and the quotient is 3.</li>

83 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 10 is divided by 3, the remainder is 1 and the quotient is 3.</li>

85 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 40 and 24 is 120.</li>

84 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 40 and 24 is 120.</li>

86 </ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 40 and 24 will be 8, as it is their largest common factor that divides the numbers completely.</li>

85 </ul><ul><li><strong>GCF:</strong>The largest factor that commonly divides two or more numbers. For example, the GCF of 40 and 24 will be 8, as it is their largest common factor that divides the numbers completely.</li>

87 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

86 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

88 <p>▶</p>

87 <p>▶</p>

89 <h2>Hiralee Lalitkumar Makwana</h2>

88 <h2>Hiralee Lalitkumar Makwana</h2>

90 <h3>About the Author</h3>

89 <h3>About the Author</h3>

91 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

90 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

92 <h3>Fun Fact</h3>

91 <h3>Fun Fact</h3>

93 <p>: She loves to read number jokes and games.</p>

92 <p>: She loves to read number jokes and games.</p>