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2 <p>Last updated on<strong>August 5, 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 24 and 36.</p>

4 <h2>What is the GCF of 24 and 36</h2>

5 <p>The<a>greatest common factor</a><a>of</a>24 and 36 is 12. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number. 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, which is always positive.</p>

6 <h2>How to find the GCF of 24 and 36</h2>

7 <p>To find the GCF of 24 and 36, a few methods are described below -</p>

8 <ul><li>Listing Factors</li>

9 <li>Prime Factorization</li>

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

11 </ul><h2>GCF of 24 and 36 by Using Listing of factors</h2>

12 <p>Steps to find GCF of 24 and 36 using the listing of<a>factors</a></p>

13 <p>Step1: Firstly, list the factors of each number</p>

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

15 <p>Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.9</p>

16 <p><strong>Step2:</strong>Now, identify the<a>common factors</a>of them</p>

17 <p> Common factors of 24 and 36: 1, 2, 3, 4, 6, 12.</p>

18 <p><strong>Step3:</strong>Choose the largest factor</p>

19 <p>The largest factor that both numbers have is 12.</p>

20 <p>The GCF of 24 and 36 is 12. </p>

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23 <h2>GCF of 24 and 36 Using Prime Factorization</h2>

22 <h2>GCF of 24 and 36 Using Prime Factorization</h2>

24 <p>To find the GCF of 24 and 36 using Prime Factorization Method, follow these steps:</p>

23 <p>To find the GCF of 24 and 36 using Prime Factorization Method, follow these steps:</p>

25 <p><strong>Step1:</strong>Find the prime Factors of each number</p>

24 <p><strong>Step1:</strong>Find the prime Factors of each number</p>

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

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

27 <p>Prime Factors of 36 : 36 = 2 x 2 x 3 x 3 = 22x 32</p>

26 <p>Prime Factors of 36 : 36 = 2 x 2 x 3 x 3 = 22x 32</p>

28 <p><strong>Step2:</strong>Now, identify the common<a>prime factors</a></p>

27 <p><strong>Step2:</strong>Now, identify the common<a>prime factors</a></p>

29 <p>The common prime factors are : 2 x 2 x 3 = 22x 3</p>

28 <p>The common prime factors are : 2 x 2 x 3 = 22x 3</p>

30 <p><strong>Step3:</strong>Multiply the common prime factors 22x 3 = 4 × 3 = 12.</p>

29 <p><strong>Step3:</strong>Multiply the common prime factors 22x 3 = 4 × 3 = 12.</p>

31 <p>The Greatest Common Factor of 24 and 36 is 12. </p>

30 <p>The Greatest Common Factor of 24 and 36 is 12. </p>

32 <h2>GCF of 24 and 36 Using Division Method</h2>

31 <h2>GCF of 24 and 36 Using Division Method</h2>

33 <p>Find the GCF of 24 and 36 using the<a>division</a>method, follow these steps:</p>

32 <p>Find the GCF of 24 and 36 using the<a>division</a>method, follow these steps:</p>

34 <p><strong>Step1:</strong>First divide the larger number by the smaller number</p>

33 <p><strong>Step1:</strong>First divide the larger number by the smaller number</p>

35 <p>Here, divide 36 by 24 </p>

34 <p>Here, divide 36 by 24 </p>

36 <p>36 ÷ 24 = 1 (<a>quotient</a>), </p>

35 <p>36 ÷ 24 = 1 (<a>quotient</a>), </p>

37 <p>The<a>remainder</a>is calculated as 36 - (24×1) = 12 </p>

36 <p>The<a>remainder</a>is calculated as 36 - (24×1) = 12 </p>

38 <p> The remainder is 12, not zero, so continue the process</p>

37 <p> The remainder is 12, not zero, so continue the process</p>

39 <p><strong>Step2:</strong>Now divide the previous divisor (24) by the previous remainder (12)</p>

38 <p><strong>Step2:</strong>Now divide the previous divisor (24) by the previous remainder (12)</p>

40 <p>Divide 24 by 12</p>

39 <p>Divide 24 by 12</p>

41 <p>24 ÷ 12 = 2 (quotient), remainder = 24 - (12×2) = 0</p>

40 <p>24 ÷ 12 = 2 (quotient), remainder = 24 - (12×2) = 0</p>

42 <p>The remainder is zero, the divisor will become the GCF.</p>

41 <p>The remainder is zero, the divisor will become the GCF.</p>

43 <p>The GCF of 24 and 36 is 12. </p>

42 <p>The GCF of 24 and 36 is 12. </p>

44 <h2>Common Mistakes and How to Avoid them in GCF of 24 and 36</h2>

43 <h2>Common Mistakes and How to Avoid them in GCF of 24 and 36</h2>

45 <p>Finding GCF of 24 and 36 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students </p>

44 <p>Finding GCF of 24 and 36 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students </p>

46 <h3>Problem 1</h3>

45 <h3>Problem 1</h3>

47 <p>A teacher has 24 pencils and 36 erasers. 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>

46 <p>A teacher has 24 pencils and 36 erasers. 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>

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

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

49 <p>We should find GCF of 24 and 36 </p>

48 <p>We should find GCF of 24 and 36 </p>

50 <p>GCF of 24 and 36 </p>

49 <p>GCF of 24 and 36 </p>

51 <p>22x 3 = 4 x 3 = 12.</p>

50 <p>22x 3 = 4 x 3 = 12.</p>

52 <p>There are 12 equal groups</p>

51 <p>There are 12 equal groups</p>

53 <p>24 ÷ 12 = 2</p>

52 <p>24 ÷ 12 = 2</p>

54 <p>36 ÷ 12 = 3 </p>

53 <p>36 ÷ 12 = 3 </p>

55 <p>There will be 12 groups and each group gets 2 pencils and 3 erasers. </p>

54 <p>There will be 12 groups and each group gets 2 pencils and 3 erasers. </p>

56 <h3>Explanation</h3>

55 <h3>Explanation</h3>

57 <p>As the GCF of 24 and 36 is 12, teacher can make 12 groups. Now divide 24 and 36 with 12. Each group get 2 pencils and 3 erasers. </p>

56 <p>As the GCF of 24 and 36 is 12, teacher can make 12 groups. Now divide 24 and 36 with 12. Each group get 2 pencils and 3 erasers. </p>

58 <p>Well explained 👍</p>

57 <p>Well explained 👍</p>

59 <h3>Problem 2</h3>

58 <h3>Problem 2</h3>

60 <p>A school has 24 red chairs and 36 blue chairs. They want to arrange them in rows with the same number of chairs in each row, using the largest possible number of chairs per row. How many chairs will be in each row?</p>

59 <p>A school has 24 red chairs and 36 blue chairs. They want to arrange them in rows with the same number of chairs in each row, using the largest possible number of chairs per row. How many chairs will be in each row?</p>

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

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

62 <p>GCF of 24 and 36 22x 3 = 4 × 3 = 12.</p>

61 <p>GCF of 24 and 36 22x 3 = 4 × 3 = 12.</p>

63 <p>So each row will have 12 chairs. </p>

62 <p>So each row will have 12 chairs. </p>

64 <h3>Explanation</h3>

63 <h3>Explanation</h3>

65 <p> There are 24 red and 36 blue chairs. To find the total number of chairs in each row, we should find the GCF of 24 and 36. There will be 12 chairs in each row. </p>

64 <p> There are 24 red and 36 blue chairs. To find the total number of chairs in each row, we should find the GCF of 24 and 36. There will be 12 chairs in each row. </p>

66 <p>Well explained 👍</p>

65 <p>Well explained 👍</p>

67 <h3>Problem 3</h3>

66 <h3>Problem 3</h3>

68 <p>A tailor has 24 meters of red ribbon and 36 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>

67 <p>A tailor has 24 meters of red ribbon and 36 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>

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

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

70 <p>For calculating longest equal length, we have to calculate the GCF of 24 and 36</p>

69 <p>For calculating longest equal length, we have to calculate the GCF of 24 and 36</p>

71 <p>The GCF of 24 and 36 </p>

70 <p>The GCF of 24 and 36 </p>

72 <p>22x 3 = 4 × 3 = 12.</p>

71 <p>22x 3 = 4 × 3 = 12.</p>

73 <p>The ribbon is 12 meters long. </p>

72 <p>The ribbon is 12 meters long. </p>

74 <h3>Explanation</h3>

73 <h3>Explanation</h3>

75 <p> For calculating the longest length of the ribbon first we need to calculate the GCF of 24 and 36 which is 12. The length of each piece of the ribbon will be 12 meters.</p>

74 <p> For calculating the longest length of the ribbon first we need to calculate the GCF of 24 and 36 which is 12. The length of each piece of the ribbon will be 12 meters.</p>

76 <p>Well explained 👍</p>

75 <p>Well explained 👍</p>

77 <h3>Problem 4</h3>

76 <h3>Problem 4</h3>

78 <p>A carpenter has two wooden planks, one 24 cm long and the other 36 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>

77 <p>A carpenter has two wooden planks, one 24 cm long and the other 36 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>

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

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

80 <p>The carpenter needs the longest piece of wood </p>

79 <p>The carpenter needs the longest piece of wood </p>

81 <p>GCF of 24 and 36 22x 3 = 4 × 3 = 12.</p>

80 <p>GCF of 24 and 36 22x 3 = 4 × 3 = 12.</p>

82 <p>The longest length of each piece is 12 cm. </p>

81 <p>The longest length of each piece is 12 cm. </p>

83 <h3>Explanation</h3>

82 <h3>Explanation</h3>

84 <p>To find the longest length of each piece of two wooden planks, 24 cm and 36 cm respectively. We have to find the GCF of 24 and 36 which is 12 cm. The longest length of each piece is 12 cm. </p>

83 <p>To find the longest length of each piece of two wooden planks, 24 cm and 36 cm respectively. We have to find the GCF of 24 and 36 which is 12 cm. The longest length of each piece is 12 cm. </p>

85 <p>Well explained 👍</p>

84 <p>Well explained 👍</p>

86 <h2>FAQs on Greatest Common Factor of 24 and 26</h2>

85 <h2>FAQs on Greatest Common Factor of 24 and 26</h2>

87 <h3>1.What is the LCM of 24 and 36?</h3>

86 <h3>1.What is the LCM of 24 and 36?</h3>

88 <p>The LCM of 24 and 36 is 72. </p>

87 <p>The LCM of 24 and 36 is 72. </p>

89 <h3>2.Is 24 divisible by 2?</h3>

88 <h3>2.Is 24 divisible by 2?</h3>

90 <p>Yes, 24 is divisible by 2 because it is an even number. </p>

89 <p>Yes, 24 is divisible by 2 because it is an even number. </p>

91 <h3>3.What is the prime factorization of 36?</h3>

90 <h3>3.What is the prime factorization of 36?</h3>

92 <p>The prime factorization of 36 is 22 x 32.</p>

91 <p>The prime factorization of 36 is 22 x 32.</p>

93 <h3>4.Are 24 and 36 prime numbers?</h3>

92 <h3>4.Are 24 and 36 prime numbers?</h3>

94 <p>No, 24 and 36 are not<a>prime numbers</a>because, both of them have more than two factors</p>

93 <p>No, 24 and 36 are not<a>prime numbers</a>because, both of them have more than two factors</p>

95 <h3>5.What is the GCF of 24 and 42 ?</h3>

94 <h3>5.What is the GCF of 24 and 42 ?</h3>

96 <p>The GCF of 24 and 42 is 6. It is the only largest number that can commonly divide 24 and 42 without any remainder. </p>

95 <p>The GCF of 24 and 42 is 6. It is the only largest number that can commonly divide 24 and 42 without any remainder. </p>

97 <h3>Important Glossaries for GCF of 24 and 36</h3>

96 <h3>Important Glossaries for GCF of 24 and 36</h3>

98 <ul><li><strong>Multiples:</strong>A multiple of a number is the product of that number and a whole number.Example: 24 is a multiple of 6.</li>

97 <ul><li><strong>Multiples:</strong>A multiple of a number is the product of that number and a whole number.Example: 24 is a multiple of 6.</li>

99 </ul><ul><li><strong>Prime Numbers:</strong>It is a number that has exactly two divisors, which are 1 and itself.For example: 2 is a prime number.</li>

98 </ul><ul><li><strong>Prime Numbers:</strong>It is a number that has exactly two divisors, which are 1 and itself.For example: 2 is a prime number.</li>

100 </ul><ul><li><strong>Co-prime numbers:</strong>Co-Primes are two or more numbers which do not have any other common factor except 1. </li>

99 </ul><ul><li><strong>Co-prime numbers:</strong>Co-Primes are two or more numbers which do not have any other common factor except 1. </li>

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

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

102 <p>▶</p>

101 <p>▶</p>

103 <h2>Hiralee Lalitkumar Makwana</h2>

102 <h2>Hiralee Lalitkumar Makwana</h2>

104 <h3>About the Author</h3>

103 <h3>About the Author</h3>

105 <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>

104 <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>

106 <h3>Fun Fact</h3>

105 <h3>Fun Fact</h3>

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

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