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1 - <p>127 Learners</p>

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2 <p>Last updated on<strong>October 25, 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, to group or arrange items, and to schedule events. In this topic, we will learn about the GCF of 2 and 12.</p>

4 <h2>What is the GCF of 2 and 12?</h2>

5 <p>The<a>greatest common factor</a>of 2 and 12 is 2.</p>

6 <p>The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the numbers.</p>

7 <p>If two numbers are co-prime, they have no common factors other than 1, so their GCF is 1.</p>

8 <p>The GCF of two numbers cannot be negative because divisors are always positive.</p>

9 <h2>How to find the GCF of 2 and 12?</h2>

10 <p>To find the GCF of 2 and 12, a few methods are described below:</p>

11 <p>Listing Factors Prime Factorization Long Division Method / by Euclidean Algorithm</p>

12 <h2>GCF of 2 and 12 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 2 and 12 using the listing of<a>factors</a>:</p>

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

15 <p>Step 2: Now, identify the<a>common factors</a>of them Common factors of 2 and 12: 1, 2.</p>

16 <p>Step 3: Choose the largest factor The largest factor that both numbers have is 2.</p>

17 <p>The GCF of 2 and 12 is 2.</p>

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20 <h2>GCF of 2 and 12 Using Prime Factorization</h2>

19 <h2>GCF of 2 and 12 Using Prime Factorization</h2>

21 <p>To find the GCF of 2 and 12 using the Prime Factorization Method, follow these steps:</p>

20 <p>To find the GCF of 2 and 12 using the Prime Factorization Method, follow these steps:</p>

22 <p>Step 1: Find the<a>prime factors</a>of each number Prime Factors of 2: 2 = 2 Prime Factors of 12: 12 = 2 x 2 x 3 = 2² x 3.</p>

21 <p>Step 1: Find the<a>prime factors</a>of each number Prime Factors of 2: 2 = 2 Prime Factors of 12: 12 = 2 x 2 x 3 = 2² x 3.</p>

23 <p>Step 2: Now, identify the common prime factors The common prime factor is: 2.</p>

22 <p>Step 2: Now, identify the common prime factors The common prime factor is: 2.</p>

24 <p>Step 3: Multiply the common prime factors 2 = 2.</p>

23 <p>Step 3: Multiply the common prime factors 2 = 2.</p>

25 <p>The Greatest Common Factor of 2 and 12 is 2.</p>

24 <p>The Greatest Common Factor of 2 and 12 is 2.</p>

26 <h2>GCF of 2 and 12 Using Division Method or Euclidean Algorithm</h2>

25 <h2>GCF of 2 and 12 Using Division Method or Euclidean Algorithm</h2>

27 <p>Find the GCF of 2 and 12 using the<a>division</a>method or Euclidean Algorithm Method.</p>

26 <p>Find the GCF of 2 and 12 using the<a>division</a>method or Euclidean Algorithm Method.</p>

28 <p>Follow these steps:</p>

27 <p>Follow these steps:</p>

29 <p>Step 1: First, divide the larger number by the smaller number Here, divide 12 by 2 12 ÷ 2 = 6 (<a>quotient</a>), The<a>remainder</a>is calculated as 12 - (2×6) = 0. The remainder is zero, so the divisor becomes the GCF.</p>

28 <p>Step 1: First, divide the larger number by the smaller number Here, divide 12 by 2 12 ÷ 2 = 6 (<a>quotient</a>), The<a>remainder</a>is calculated as 12 - (2×6) = 0. The remainder is zero, so the divisor becomes the GCF.</p>

30 <p>The GCF of 2 and 12 is 2.</p>

29 <p>The GCF of 2 and 12 is 2.</p>

31 <h2>Common Mistakes and How to Avoid Them in GCF of 2 and 12</h2>

30 <h2>Common Mistakes and How to Avoid Them in GCF of 2 and 12</h2>

32 <p>Finding the GCF of 2 and 12 looks simple, but students often make mistakes while calculating the GCF.</p>

31 <p>Finding the GCF of 2 and 12 looks simple, but students often make mistakes while calculating the GCF.</p>

33 <p>Here are some common mistakes to be avoided by the students.</p>

32 <p>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 2 kg of sugar and 12 kg of flour. She wants to pack them into bags with the largest number of kilograms in each bag. How many kilograms will be in each bag?</p>

34 <p>A chef has 2 kg of sugar and 12 kg of flour. She wants to pack them into bags with the largest number of kilograms in each bag. How many kilograms will be in each bag?</p>

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

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

37 <p>We should find the GCF of 2 and 12. GCF of 2 and 12 = 2.</p>

36 <p>We should find the GCF of 2 and 12. GCF of 2 and 12 = 2.</p>

38 <p>There will be 2 kg in each bag.</p>

37 <p>There will be 2 kg in each bag.</p>

39 <h3>Explanation</h3>

38 <h3>Explanation</h3>

40 <p>As the GCF of 2 and 12 is 2, the chef can pack them into bags containing 2 kg each.</p>

39 <p>As the GCF of 2 and 12 is 2, the chef can pack them into bags containing 2 kg each.</p>

41 <p>Well explained 👍</p>

40 <p>Well explained 👍</p>

42 <h3>Problem 2</h3>

41 <h3>Problem 2</h3>

43 <p>An artist has 2 red paints and 12 blue paints. They want to group them in sets with the same number of paints in each set, using the largest possible number of paints per set. How many paints will be in each set?</p>

42 <p>An artist has 2 red paints and 12 blue paints. They want to group them in sets with the same number of paints in each set, using the largest possible number of paints per set. How many paints will be in each set?</p>

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

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

45 <p>GCF of 2 and 12 = 2.</p>

44 <p>GCF of 2 and 12 = 2.</p>

46 <p>So each set will have 2 paints.</p>

45 <p>So each set will have 2 paints.</p>

47 <h3>Explanation</h3>

46 <h3>Explanation</h3>

48 <p>There are 2 red and 12 blue paints.</p>

47 <p>There are 2 red and 12 blue paints.</p>

49 <p>To find the total number of paints in each set, we should find the GCF of 2 and 12.</p>

48 <p>To find the total number of paints in each set, we should find the GCF of 2 and 12.</p>

50 <p>There will be 2 paints in each set.</p>

49 <p>There will be 2 paints in each set.</p>

51 <p>Well explained 👍</p>

50 <p>Well explained 👍</p>

52 <h3>Problem 3</h3>

51 <h3>Problem 3</h3>

53 <p>A gardener has 2 meters of green ribbon and 12 meters of yellow ribbon. They want to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

52 <p>A gardener has 2 meters of green ribbon and 12 meters of yellow ribbon. They want to cut both ribbons into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

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

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

55 <p>For calculating the longest equal length, we have to calculate the GCF of 2 and 12, The GCF of 2 and 12 = 2.</p>

54 <p>For calculating the longest equal length, we have to calculate the GCF of 2 and 12, The GCF of 2 and 12 = 2.</p>

56 <p>The ribbon is 2 meters long.</p>

55 <p>The ribbon is 2 meters long.</p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p>For calculating the longest length of the ribbon, first, we need to calculate the GCF of 2 and 12, which is 2.</p>

57 <p>For calculating the longest length of the ribbon, first, we need to calculate the GCF of 2 and 12, which is 2.</p>

59 <p>The length of each piece of the ribbon will be 2 meters.</p>

58 <p>The length of each piece of the ribbon will be 2 meters.</p>

60 <p>Well explained 👍</p>

59 <p>Well explained 👍</p>

61 <h3>Problem 4</h3>

60 <h3>Problem 4</h3>

62 <p>A carpenter has two wooden planks, one 2 cm long and the other 12 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>

61 <p>A carpenter has two wooden planks, one 2 cm long and the other 12 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>

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

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

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

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

65 <p>GCF of 2 and 12 = 2.</p>

64 <p>GCF of 2 and 12 = 2.</p>

66 <p>The longest length of each piece is 2 cm.</p>

65 <p>The longest length of each piece is 2 cm.</p>

67 <h3>Explanation</h3>

66 <h3>Explanation</h3>

68 <p>To find the longest length of each piece of the two wooden planks, 2 cm and 12 cm, respectively, we have to find the GCF of 2 and 12, which is 2 cm.</p>

67 <p>To find the longest length of each piece of the two wooden planks, 2 cm and 12 cm, respectively, we have to find the GCF of 2 and 12, which is 2 cm.</p>

69 <p>The longest length of each piece is 2 cm.</p>

68 <p>The longest length of each piece is 2 cm.</p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h3>Problem 5</h3>

70 <h3>Problem 5</h3>

72 <p>If the GCF of 2 and ‘a’ is 2, and the LCM is 12, find ‘a’.</p>

71 <p>If the GCF of 2 and ‘a’ is 2, and the LCM is 12, find ‘a’.</p>

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

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

74 <p>The value of ‘a’ is 12.</p>

73 <p>The value of ‘a’ is 12.</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

76 <p>GCF x LCM = product of the numbers 2 × 12 = 2 × a 24 = 2a a = 24 ÷ 2 = 12</p>

75 <p>GCF x LCM = product of the numbers 2 × 12 = 2 × a 24 = 2a a = 24 ÷ 2 = 12</p>

77 <p>Well explained 👍</p>

76 <p>Well explained 👍</p>

78 <h2>FAQs on the Greatest Common Factor of 2 and 12</h2>

77 <h2>FAQs on the Greatest Common Factor of 2 and 12</h2>

79 <h3>1.What is the LCM of 2 and 12?</h3>

78 <h3>1.What is the LCM of 2 and 12?</h3>

80 <p>The LCM of 2 and 12 is 12.</p>

79 <p>The LCM of 2 and 12 is 12.</p>

81 <h3>2.Is 2 divisible by 2?</h3>

80 <h3>2.Is 2 divisible by 2?</h3>

82 <p>Yes, 2 is divisible by 2 because it is the number itself.</p>

81 <p>Yes, 2 is divisible by 2 because it is the number itself.</p>

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

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

84 <p>The common factor of<a>prime numbers</a>is 1 and the number itself.</p>

83 <p>The common factor of<a>prime numbers</a>is 1 and the number itself.</p>

85 <p>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>

84 <p>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>

86 <h3>4.What is the prime factorization of 12?</h3>

85 <h3>4.What is the prime factorization of 12?</h3>

87 <p>The prime factorization of 12 is 2² x 3.</p>

86 <p>The prime factorization of 12 is 2² x 3.</p>

88 <h3>5.Are 2 and 12 prime numbers?</h3>

87 <h3>5.Are 2 and 12 prime numbers?</h3>

89 <p>No, 2 is a prime number, but 12 is not because it has more than two factors.</p>

88 <p>No, 2 is a prime number, but 12 is not because it has more than two factors.</p>

90 <h2>Important Glossaries for GCF of 2 and 12</h2>

89 <h2>Important Glossaries for GCF of 2 and 12</h2>

91 <ul><li><strong>Factors</strong>: Factors are numbers that divide the target number completely. For example, the factors of 6 are 1, 2, 3, and 6.</li>

90 <ul><li><strong>Factors</strong>: Factors are numbers that divide the target number completely. For example, the factors of 6 are 1, 2, 3, and 6.</li>

92 </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>

91 </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>

93 </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 20 are 2 and 5.</li>

92 </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 20 are 2 and 5.</li>

94 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 11 is divided by 4, the remainder is 3 and the quotient is 2.</li>

93 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 11 is divided by 4, the remainder is 3 and the quotient is 2.</li>

95 </ul><ul><li><strong>LCM</strong>: The smallest common multiple of two or more numbers is termed the LCM. For example, the LCM of 2 and 12 is 12.</li>

94 </ul><ul><li><strong>LCM</strong>: The smallest common multiple of two or more numbers is termed the LCM. For example, the LCM of 2 and 12 is 12.</li>

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

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

97 <p>▶</p>

96 <p>▶</p>

98 <h2>Hiralee Lalitkumar Makwana</h2>

97 <h2>Hiralee Lalitkumar Makwana</h2>

99 <h3>About the Author</h3>

98 <h3>About the Author</h3>

100 <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>

99 <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>

101 <h3>Fun Fact</h3>

100 <h3>Fun Fact</h3>

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

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