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2 <p>Last updated on<strong>August 12, 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 2 and 18.</p>

4 <h2>What is the GCF of 2 and 18?</h2>

5 <p>The<a>greatest common factor</a>of 2 and 18 is 2. 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 2 and 18?</h2>

8 <p>To find the GCF of 2 and 18, 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 2 and 18 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 2 and 18 using the listing of<a>factors</a></p>

14 <p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 2 = 1, 2. Factors of 18 = 1, 2, 3, 6, 9, 18.</p>

15 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 2 and 18: 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 2 and 18 is 2.</p>

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

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

20 <p>To find the GCF of 2 and 18 using the Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 2 and 18 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 2: 2 = 2 Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 2: 2 = 2 Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</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 2 and 18 is 2.</p>

22 <p><strong>Step 3:</strong>Multiply the common prime factors The Greatest Common Factor of 2 and 18 is 2.</p>

24 <h2>GCF of 2 and 18 Using Division Method or Euclidean Algorithm Method</h2>

23 <h2>GCF of 2 and 18 Using Division Method or Euclidean Algorithm Method</h2>

25 <p>Find the GCF of 2 and 18 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

24 <p>Find the GCF of 2 and 18 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 18 by 2 18 ÷ 2 = 9 (<a>quotient</a>), The<a>remainder</a>is calculated as 18 - (2×9) = 0</p>

25 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 18 by 2 18 ÷ 2 = 9 (<a>quotient</a>), The<a>remainder</a>is calculated as 18 - (2×9) = 0</p>

27 <p>The remainder is zero, so the divisor becomes the GCF. The GCF of 2 and 18 is 2.</p>

26 <p>The remainder is zero, so the divisor becomes the GCF. The GCF of 2 and 18 is 2.</p>

28 <h2>Common Mistakes and How to Avoid Them in GCF of 2 and 18</h2>

27 <h2>Common Mistakes and How to Avoid Them in GCF of 2 and 18</h2>

29 <p>Finding the GCF of 2 and 18 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

28 <p>Finding the GCF of 2 and 18 looks simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

30 <h3>Problem 1</h3>

29 <h3>Problem 1</h3>

31 <p>A gardener has 2 shovels and 18 plants. She wants to distribute them in equal sets, with the largest number of items in each set. How many items will be in each set?</p>

30 <p>A gardener has 2 shovels and 18 plants. She wants to distribute them in equal sets, with the largest number of items in each set. How many items will be in each set?</p>

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

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

33 <p>We should find the GCF of 2 and 18 GCF of 2 and 18 is 2.</p>

32 <p>We should find the GCF of 2 and 18 GCF of 2 and 18 is 2.</p>

34 <p>There are 2 equal sets 2 ÷ 2 = 1 18 ÷ 2 = 9</p>

33 <p>There are 2 equal sets 2 ÷ 2 = 1 18 ÷ 2 = 9</p>

35 <p>There will be 2 sets, and each set gets 1 shovel and 9 plants.</p>

34 <p>There will be 2 sets, and each set gets 1 shovel and 9 plants.</p>

36 <h3>Explanation</h3>

35 <h3>Explanation</h3>

37 <p>As the GCF of 2 and 18 is 2, the gardener can make 2 sets. Now divide 2 and 18 by 2. Each set gets 1 shovel and 9 plants.</p>

36 <p>As the GCF of 2 and 18 is 2, the gardener can make 2 sets. Now divide 2 and 18 by 2. Each set gets 1 shovel and 9 plants.</p>

38 <p>Well explained 👍</p>

37 <p>Well explained 👍</p>

39 <h3>Problem 2</h3>

38 <h3>Problem 2</h3>

40 <p>A chef has 2 large ovens and 18 trays of cookies. They want to organize them in batches with the same number of trays in each batch, using the largest possible number of trays per batch. How many trays will be in each batch?</p>

39 <p>A chef has 2 large ovens and 18 trays of cookies. They want to organize them in batches with the same number of trays in each batch, using the largest possible number of trays per batch. How many trays will be in each batch?</p>

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

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

42 <p>GCF of 2 and 18 is 2. So each batch will have 2 trays.</p>

41 <p>GCF of 2 and 18 is 2. So each batch will have 2 trays.</p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>There are 2 ovens and 18 trays of cookies. To find the total number of trays in each batch, we should find the GCF of 2 and 18. There will be 2 trays in each batch.</p>

43 <p>There are 2 ovens and 18 trays of cookies. To find the total number of trays in each batch, we should find the GCF of 2 and 18. There will be 2 trays in each batch.</p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 3</h3>

45 <h3>Problem 3</h3>

47 <p>A farmer has 2 meters of fencing and 18 meters of rope. She wants to cut both into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

46 <p>A farmer has 2 meters of fencing and 18 meters of rope. She wants to cut both into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

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

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

49 <p>For calculating the longest equal length, we have to calculate the GCF of 2 and 18 The GCF of 2 and 18 is 2. The length of each piece is 2 meters.</p>

48 <p>For calculating the longest equal length, we have to calculate the GCF of 2 and 18 The GCF of 2 and 18 is 2. The length of each piece is 2 meters.</p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p>For calculating the longest length of the pieces, first, we need to calculate the GCF of 2 and 18, which is 2. The length of each piece will be 2 meters.</p>

50 <p>For calculating the longest length of the pieces, first, we need to calculate the GCF of 2 and 18, which is 2. The length of each piece will be 2 meters.</p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h3>Problem 4</h3>

52 <h3>Problem 4</h3>

54 <p>A mechanic has two cables, one 2 meters long and the other 18 meters long. He wants to cut them into the longest possible equal pieces, without any cable left over. What should be the length of each piece?</p>

53 <p>A mechanic has two cables, one 2 meters long and the other 18 meters long. He wants to cut them into the longest possible equal pieces, without any cable left over. What should be the length of each piece?</p>

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

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

56 <p>The mechanic needs the longest piece of cable GCF of 2 and 18 is 2. The longest length of each piece is 2 meters.</p>

55 <p>The mechanic needs the longest piece of cable GCF of 2 and 18 is 2. The longest length of each piece is 2 meters.</p>

57 <h3>Explanation</h3>

56 <h3>Explanation</h3>

58 <p>To find the longest length of each piece of the two cables, 2 meters and 18 meters, respectively. We have to find the GCF of 2 and 18, which is 2 meters. The longest length of each piece is 2 meters.</p>

57 <p>To find the longest length of each piece of the two cables, 2 meters and 18 meters, respectively. We have to find the GCF of 2 and 18, which is 2 meters. The longest length of each piece is 2 meters.</p>

59 <p>Well explained 👍</p>

58 <p>Well explained 👍</p>

60 <h3>Problem 5</h3>

59 <h3>Problem 5</h3>

61 <p>If the GCF of 2 and ‘b’ is 2, and the LCM is 18. Find ‘b’.</p>

60 <p>If the GCF of 2 and ‘b’ is 2, and the LCM is 18. Find ‘b’.</p>

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

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

63 <p>The value of ‘b’ is 18.</p>

62 <p>The value of ‘b’ is 18.</p>

64 <h3>Explanation</h3>

63 <h3>Explanation</h3>

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

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

66 <p>2 × 18 = 2 × b</p>

65 <p>2 × 18 = 2 × b</p>

67 <p>36 = 2b</p>

66 <p>36 = 2b</p>

68 <p>b = 36 ÷ 2 = 18</p>

67 <p>b = 36 ÷ 2 = 18</p>

69 <p>Well explained 👍</p>

68 <p>Well explained 👍</p>

70 <h2>FAQs on the Greatest Common Factor of 2 and 18</h2>

69 <h2>FAQs on the Greatest Common Factor of 2 and 18</h2>

71 <h3>1.What is the LCM of 2 and 18?</h3>

70 <h3>1.What is the LCM of 2 and 18?</h3>

72 <p>The LCM of 2 and 18 is 18.</p>

71 <p>The LCM of 2 and 18 is 18.</p>

73 <h3>2.Is 18 divisible by 2?</h3>

72 <h3>2.Is 18 divisible by 2?</h3>

74 <p>Yes, 18 is divisible by 2 because it is an even number.</p>

73 <p>Yes, 18 is divisible by 2 because it is an even number.</p>

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

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

76 <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>

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>

77 <h3>4.What is the prime factorization of 18?</h3>

76 <h3>4.What is the prime factorization of 18?</h3>

78 <p>The prime factorization of 18 is 2 x 3².</p>

77 <p>The prime factorization of 18 is 2 x 3².</p>

79 <h3>5.Are 2 and 18 prime numbers?</h3>

78 <h3>5.Are 2 and 18 prime numbers?</h3>

80 <p>No, 2 is a prime number, but 18 is not because it has more than two factors.</p>

79 <p>No, 2 is a prime number, but 18 is not because it has more than two factors.</p>

81 <h2>Important Glossaries for GCF of 2 and 18</h2>

80 <h2>Important Glossaries for GCF of 2 and 18</h2>

82 <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>

81 <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>

83 </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>

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>

84 </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>

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>

85 </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>

84 </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>

86 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 2 and 18 is 18.</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 2 and 18 is 18.</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>