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1 - <p>153 Learners</p>

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2 <p>Last updated on<strong>August 14, 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 items equally, group or arrange items, and schedule events. In this topic, we will learn about the GCF of 24 and 52.</p>

4 <h2>What is the GCF of 24 and 52?</h2>

5 <p>The<a>greatest common factor</a>of 24 and 52 is 4. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number.</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 24 and 52?</h2>

8 <p>To find the GCF of 24 and 52, 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 24 and 52 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 24 and 52 using the listing of<a>factors</a></p>

14 <p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24. Factors of 52 = 1, 2, 4, 13, 26, 52.</p>

15 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 24 and 52: 1, 2, 4.</p>

16 <p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 4. The GCF of 24 and 52 is 4.</p>

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19 <h2>GCF of 24 and 52 Using Prime Factorization</h2>

18 <h2>GCF of 24 and 52 Using Prime Factorization</h2>

20 <p>To find the GCF of 24 and 52 using the Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 24 and 52 using the Prime Factorization Method, follow these steps:</p>

21 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>

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

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

23 <p>Prime Factors of 52: 52 = 2 × 2 × 13 = 2² × 13</p>

22 <p>Prime Factors of 52: 52 = 2 × 2 × 13 = 2² × 13</p>

24 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factor is: 2 × 2 = 2²</p>

23 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factor is: 2 × 2 = 2²</p>

25 <p><strong>Step 3:</strong>Multiply the common prime factors 2² = 4 The Greatest Common Factor of 24 and 52 is 4.</p>

24 <p><strong>Step 3:</strong>Multiply the common prime factors 2² = 4 The Greatest Common Factor of 24 and 52 is 4.</p>

26 <h2>GCF of 24 and 52 Using Division Method or Euclidean Algorithm Method</h2>

25 <h2>GCF of 24 and 52 Using Division Method or Euclidean Algorithm Method</h2>

27 <p>Find the GCF of 24 and 52 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

26 <p>Find the GCF of 24 and 52 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 52 by 24 52 ÷ 24 = 2 (<a>quotient</a>), The<a>remainder</a>is calculated as 52 - (24×2) = 4 The remainder is 4, not zero, so continue the process</p>

27 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 52 by 24 52 ÷ 24 = 2 (<a>quotient</a>), The<a>remainder</a>is calculated as 52 - (24×2) = 4 The remainder is 4, not zero, so continue the process</p>

29 <p><strong>Step 2:</strong>Now divide the previous divisor (24) by the previous remainder (4) Divide 24 by 4 24 ÷ 4 = 6 (quotient), remainder = 0 The remainder is zero, so the divisor will become the GCF. The GCF of 24 and 52 is 4.</p>

28 <p><strong>Step 2:</strong>Now divide the previous divisor (24) by the previous remainder (4) Divide 24 by 4 24 ÷ 4 = 6 (quotient), remainder = 0 The remainder is zero, so the divisor will become the GCF. The GCF of 24 and 52 is 4.</p>

30 <h2>Common Mistakes and How to Avoid Them in GCF of 24 and 52</h2>

29 <h2>Common Mistakes and How to Avoid Them in GCF of 24 and 52</h2>

31 <p>Finding GCF of 24 and 52 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

30 <p>Finding GCF of 24 and 52 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>A teacher has 24 notebooks and 52 markers. She wants to group them into equal sets, with the largest number of items in each group. How many items will be in each group?</p>

32 <p>A teacher has 24 notebooks and 52 markers. She wants to group them into equal sets, with the largest number of items in each group. How many items will be in each group?</p>

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

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

35 <p>We should find the GCF of 24 and 52. GCF of 24 and 52 is 4.</p>

34 <p>We should find the GCF of 24 and 52. GCF of 24 and 52 is 4.</p>

36 <p>There are 4 equal groups. 24 ÷ 4 = 6 52 ÷ 4 = 13</p>

35 <p>There are 4 equal groups. 24 ÷ 4 = 6 52 ÷ 4 = 13</p>

37 <p>There will be 4 groups, and each group gets 6 notebooks and 13 markers.</p>

36 <p>There will be 4 groups, and each group gets 6 notebooks and 13 markers.</p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

39 <p>As the GCF of 24 and 52 is 4, the teacher can make 4 groups. Now divide 24 and 52 by 4. Each group gets 6 notebooks and 13 markers.</p>

38 <p>As the GCF of 24 and 52 is 4, the teacher can make 4 groups. Now divide 24 and 52 by 4. Each group gets 6 notebooks and 13 markers.</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 24 green desks and 52 yellow desks. They want to arrange them in rows with the same number of desks in each row, using the largest possible number of desks per row. How many desks will be in each row?</p>

41 <p>A school has 24 green desks and 52 yellow desks. They want to arrange them in rows with the same number of desks in each row, using the largest possible number of desks per row. How many desks will be in each row?</p>

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

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

44 <p>GCF of 24 and 52 is 4. So each row will have 4 desks.</p>

43 <p>GCF of 24 and 52 is 4. So each row will have 4 desks.</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

46 <p>There are 24 green and 52 yellow desks. To find the total number of desks in each row, we should find the GCF of 24 and 52. There will be 4 desks in each row.</p>

45 <p>There are 24 green and 52 yellow desks. To find the total number of desks in each row, we should find the GCF of 24 and 52. There will be 4 desks 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 tailor has 24 meters of silk and 52 meters of cotton. She wants to cut both fabrics into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

48 <p>A tailor has 24 meters of silk and 52 meters of cotton. She wants to cut both fabrics 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 24 and 52. The GCF of 24 and 52 is 4. The length of each piece is 4 meters.</p>

50 <p>For calculating the longest equal length, we have to calculate the GCF of 24 and 52. The GCF of 24 and 52 is 4. The length of each piece is 4 meters.</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>For calculating the longest length of the fabric pieces, we first need to calculate the GCF of 24 and 52, which is 4. The length of each piece of fabric will be 4 meters.</p>

52 <p>For calculating the longest length of the fabric pieces, we first need to calculate the GCF of 24 and 52, which is 4. The length of each piece of fabric will be 4 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 24 cm long and the other 52 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 24 cm long and the other 52 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 24 and 52 is 4. The longest length of each piece is 4 cm.</p>

57 <p>The carpenter needs the longest piece of wood. GCF of 24 and 52 is 4. The longest length of each piece is 4 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, 24 cm and 52 cm, respectively, we have to find the GCF of 24 and 52, which is 4 cm. The longest length of each piece is 4 cm.</p>

59 <p>To find the longest length of each piece of the two wooden planks, 24 cm and 52 cm, respectively, we have to find the GCF of 24 and 52, which is 4 cm. The longest length of each piece is 4 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 24 and ‘a’ is 4, and the LCM is 312, find ‘a’.</p>

62 <p>If the GCF of 24 and ‘a’ is 4, and the LCM is 312, find ‘a’.</p>

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

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

65 <p>The value of ‘a’ is 52.</p>

64 <p>The value of ‘a’ is 52.</p>

66 <h3>Explanation</h3>

65 <h3>Explanation</h3>

67 <p>GCF × LCM = product of the numbers</p>

66 <p>GCF × LCM = product of the numbers</p>

68 <p>4 × 312 = 24 × a</p>

67 <p>4 × 312 = 24 × a</p>

69 <p>1,248 = 24a</p>

68 <p>1,248 = 24a</p>

70 <p>a = 1,248 ÷ 24 = 52</p>

69 <p>a = 1,248 ÷ 24 = 52</p>

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h2>FAQs on the Greatest Common Factor of 24 and 52</h2>

71 <h2>FAQs on the Greatest Common Factor of 24 and 52</h2>

73 <h3>1.What is the LCM of 24 and 52?</h3>

72 <h3>1.What is the LCM of 24 and 52?</h3>

74 <p>The LCM of 24 and 52 is 312.</p>

73 <p>The LCM of 24 and 52 is 312.</p>

75 <h3>2.Is 24 divisible by 3?</h3>

74 <h3>2.Is 24 divisible by 3?</h3>

76 <p>Yes, 24 is divisible by 3 because the<a>sum</a>of its digits (2 + 4 = 6) is divisible by 3.</p>

75 <p>Yes, 24 is divisible by 3 because the<a>sum</a>of its digits (2 + 4 = 6) is divisible by 3.</p>

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

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

78 <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>

77 <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>

79 <h3>4.What is the prime factorization of 52?</h3>

78 <h3>4.What is the prime factorization of 52?</h3>

80 <p>The prime factorization of 52 is 2² × 13.</p>

79 <p>The prime factorization of 52 is 2² × 13.</p>

81 <h3>5.Are 24 and 52 prime numbers?</h3>

80 <h3>5.Are 24 and 52 prime numbers?</h3>

82 <p>No, 24 and 52 are not prime numbers because both of them have more than two factors.</p>

81 <p>No, 24 and 52 are not prime numbers because both of them have more than two factors.</p>

83 <h2>Important Glossaries for GCF of 24 and 52</h2>

82 <h2>Important Glossaries for GCF of 24 and 52</h2>

84 <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>

83 <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>

85 </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, and so on.</li>

84 </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, and so on.</li>

86 </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>

85 </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>

87 </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 4, the remainder is 2 and the quotient is 2.</li>

86 </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 4, the remainder is 2 and the quotient is 2.</li>

88 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 6 and 8 is 24.</li>

87 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 6 and 8 is 24.</li>

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

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

90 <p>▶</p>

89 <p>▶</p>

91 <h2>Hiralee Lalitkumar Makwana</h2>

90 <h2>Hiralee Lalitkumar Makwana</h2>

92 <h3>About the Author</h3>

91 <h3>About the Author</h3>

93 <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 <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>

94 <h3>Fun Fact</h3>

93 <h3>Fun Fact</h3>

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

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