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1 - <p>124 Learners</p>

1 + <p>142 Learners</p>

2 <p>Last updated on<strong>September 9, 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 schedule events. In this topic, we will learn about the GCF of 8 and 2.</p>

4 <h2>What is the GCF of 8 and 2?</h2>

5 <p>The<a>greatest common factor</a>of 8 and 2 is 2. 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 8 and 2?</h2>

8 <p>To find the GCF of 8 and 2, a few methods are described below </p>

9 <ul><li>Listing Factors </li>

10 <li>Prime Factorization </li>

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

12 </ul><h2>GCF of 8 and 2 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 8 and 2 using the listing of<a>factors</a></p>

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

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

16 <p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 2. The GCF of 8 and 2 is 2.</p>

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19 <h2>GCF of 8 and 2 Using Prime Factorization</h2>

18 <h2>GCF of 8 and 2 Using Prime Factorization</h2>

20 <p>To find the GCF of 8 and 2 using the Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 8 and 2 using the Prime Factorization Method, follow these steps:</p>

21 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 8: 8 = 2 x 2 x 2 = 2^3 Prime Factors of 2: 2 = 2</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 8: 8 = 2 x 2 x 2 = 2^3 Prime Factors of 2: 2 = 2</p>

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

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

23 <p><strong>Step 3:</strong>Multiply the common prime factors The Greatest Common Factor of 8 and 2 is 2.</p>

22 <p><strong>Step 3:</strong>Multiply the common prime factors The Greatest Common Factor of 8 and 2 is 2.</p>

24 <h2>GCF of 8 and 2 Using Division Method or Euclidean Algorithm Method</h2>

23 <h2>GCF of 8 and 2 Using Division Method or Euclidean Algorithm Method</h2>

25 <p>Find the GCF of 8 and 2 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

24 <p>Find the GCF of 8 and 2 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

26 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 8 by 2 8 ÷ 2 = 4 (<a>quotient</a>), The<a>remainder</a>is calculated as 8 - (2×4) = 0</p>

25 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 8 by 2 8 ÷ 2 = 4 (<a>quotient</a>), The<a>remainder</a>is calculated as 8 - (2×4) = 0</p>

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

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

28 <p>The GCF of 8 and 2 is 2.</p>

27 <p>The GCF of 8 and 2 is 2.</p>

29 <h2>Common Mistakes and How to Avoid Them in GCF of 8 and 2</h2>

28 <h2>Common Mistakes and How to Avoid Them in GCF of 8 and 2</h2>

30 <p>Finding the GCF of 8 and 2 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

29 <p>Finding the GCF of 8 and 2 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

31 <h3>Problem 1</h3>

30 <h3>Problem 1</h3>

32 <p>A chef has 8 apples and 2 oranges. 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>

31 <p>A chef has 8 apples and 2 oranges. 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>

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

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

34 <p>We should find the GCF of 8 and 2 GCF of 8 and 2 is 2. There are 2 equal groups 8 ÷ 2 = 42 ÷ 2 = 1There will be 2 groups, and each group gets 4 apples and 1 orange.</p>

33 <p>We should find the GCF of 8 and 2 GCF of 8 and 2 is 2. There are 2 equal groups 8 ÷ 2 = 42 ÷ 2 = 1There will be 2 groups, and each group gets 4 apples and 1 orange.</p>

35 <h3>Explanation</h3>

34 <h3>Explanation</h3>

36 <p>As the GCF of 8 and 2 is 2, the chef can make 2 groups.</p>

35 <p>As the GCF of 8 and 2 is 2, the chef can make 2 groups.</p>

37 <p>Now divide 8 and 2 by 2.</p>

36 <p>Now divide 8 and 2 by 2.</p>

38 <p>Each group gets 4 apples and 1 orange.</p>

37 <p>Each group gets 4 apples and 1 orange.</p>

39 <p>Well explained 👍</p>

38 <p>Well explained 👍</p>

40 <h3>Problem 2</h3>

39 <h3>Problem 2</h3>

41 <p>A garden has 8 rose bushes and 2 sunflower plants. They want to arrange them in rows with the same number of plants in each row, using the largest possible number of plants per row. How many plants will be in each row?</p>

40 <p>A garden has 8 rose bushes and 2 sunflower plants. They want to arrange them in rows with the same number of plants in each row, using the largest possible number of plants per row. How many plants will be in each row?</p>

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

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

43 <p>GCF of 8 and 2 is 2. So each row will have 2 plants.</p>

42 <p>GCF of 8 and 2 is 2. So each row will have 2 plants.</p>

44 <h3>Explanation</h3>

43 <h3>Explanation</h3>

45 <p>There are 8 rose bushes and 2 sunflower plants.</p>

44 <p>There are 8 rose bushes and 2 sunflower plants.</p>

46 <p>To find the total number of plants in each row, we should find the GCF of 8 and 2.</p>

45 <p>To find the total number of plants in each row, we should find the GCF of 8 and 2.</p>

47 <p>There will be 2 plants in each row.</p>

46 <p>There will be 2 plants in each row.</p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h3>Problem 3</h3>

48 <h3>Problem 3</h3>

50 <p>A tailor has 8 meters of red fabric and 2 meters of blue fabric. 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>

49 <p>A tailor has 8 meters of red fabric and 2 meters of blue fabric. 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>

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

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

52 <p>For calculating the longest equal length, we have to calculate the GCF of 8 and 2 The GCF of 8 and 2 is 2. The pieces are 2 meters long.</p>

51 <p>For calculating the longest equal length, we have to calculate the GCF of 8 and 2 The GCF of 8 and 2 is 2. The pieces are 2 meters long.</p>

53 <h3>Explanation</h3>

52 <h3>Explanation</h3>

54 <p>For calculating the longest length of the fabric first we need to calculate the GCF of 8 and 2 which is 2.</p>

53 <p>For calculating the longest length of the fabric first we need to calculate the GCF of 8 and 2 which is 2.</p>

55 <p>The length of each piece of the fabric will be 2 meters.</p>

54 <p>The length of each piece of the fabric will be 2 meters.</p>

56 <p>Well explained 👍</p>

55 <p>Well explained 👍</p>

57 <h3>Problem 4</h3>

56 <h3>Problem 4</h3>

58 <p>A carpenter has two wooden planks, one 8 cm long and the other 2 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>A carpenter has two wooden planks, one 8 cm long and the other 2 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>

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

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

60 <p>The carpenter needs the longest piece of wood GCF of 8 and 2 is 2. The longest length of each piece is 2 cm.</p>

59 <p>The carpenter needs the longest piece of wood GCF of 8 and 2 is 2. The longest length of each piece is 2 cm.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>To find the longest length of each piece of the two wooden planks, 8 cm and 2 cm, respectively.</p>

61 <p>To find the longest length of each piece of the two wooden planks, 8 cm and 2 cm, respectively.</p>

63 <p>We have to find the GCF of 8 and 2, which is 2 cm.</p>

62 <p>We have to find the GCF of 8 and 2, which is 2 cm.</p>

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

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

65 <p>Well explained 👍</p>

64 <p>Well explained 👍</p>

66 <h3>Problem 5</h3>

65 <h3>Problem 5</h3>

67 <p>If the GCF of 8 and ‘a’ is 2, and the LCM is 8. Find ‘a’.</p>

66 <p>If the GCF of 8 and ‘a’ is 2, and the LCM is 8. Find ‘a’.</p>

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

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

69 <p>The value of ‘a’ is 4.</p>

68 <p>The value of ‘a’ is 4.</p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

71 <p>GCF x LCM = product of the numbers</p>

70 <p>GCF x LCM = product of the numbers</p>

72 <p>2 × 8 = 8 × a 16</p>

71 <p>2 × 8 = 8 × a 16</p>

73 <p>= 8a a</p>

72 <p>= 8a a</p>

74 <p>= 16 ÷ 8</p>

73 <p>= 16 ÷ 8</p>

75 <p>= 2</p>

74 <p>= 2</p>

76 <p>Well explained 👍</p>

75 <p>Well explained 👍</p>

77 <h2>FAQs on the Greatest Common Factor of 8 and 2</h2>

76 <h2>FAQs on the Greatest Common Factor of 8 and 2</h2>

78 <h3>1.What is the LCM of 8 and 2?</h3>

77 <h3>1.What is the LCM of 8 and 2?</h3>

79 <h3>2.Is 8 divisible by 2?</h3>

78 <h3>2.Is 8 divisible by 2?</h3>

80 <p>Yes, 8 is divisible by 2 because it is an even number.</p>

79 <p>Yes, 8 is divisible by 2 because it is an even number.</p>

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

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

82 <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>

81 <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>

83 <h3>4.What is the prime factorization of 8?</h3>

82 <h3>4.What is the prime factorization of 8?</h3>

84 <p>The prime factorization of 8 is 2^3.</p>

83 <p>The prime factorization of 8 is 2^3.</p>

85 <h3>5.Are 8 and 2 prime numbers?</h3>

84 <h3>5.Are 8 and 2 prime numbers?</h3>

86 <p>No, 8 and 2 are not both prime numbers because 8 has more than two factors. However, 2 is a prime number.</p>

85 <p>No, 8 and 2 are not both prime numbers because 8 has more than two factors. However, 2 is a prime number.</p>

87 <h2>Important Glossaries for GCF of 8 and 2</h2>

86 <h2>Important Glossaries for GCF of 8 and 2</h2>

88 <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>

87 <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>

89 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 2 are 2, 4, 6, 8, 10, and so on.</li>

88 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 2 are 2, 4, 6, 8, 10, and so on.</li>

90 </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 factor of 8 is 2.</li>

89 </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 factor of 8 is 2.</li>

91 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 8 is divided by 3, the remainder is 2 and the quotient is 2.</li>

90 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 8 is divided by 3, the remainder is 2 and the quotient is 2.</li>

92 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 8 and 2 is 8.</li>

91 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 8 and 2 is 8.</li>

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

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

94 <p>▶</p>

93 <p>▶</p>

95 <h2>Hiralee Lalitkumar Makwana</h2>

94 <h2>Hiralee Lalitkumar Makwana</h2>

96 <h3>About the Author</h3>

95 <h3>About the Author</h3>

97 <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>

96 <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>

98 <h3>Fun Fact</h3>

97 <h3>Fun Fact</h3>

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

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