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1 - <p>125 Learners</p>

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2 <p>Last updated on<strong>October 7, 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 18 and 5.</p>

4 <h2>What is the GCF of 18 and 5?</h2>

5 <p>The<a>greatest common factor</a><a>of</a>18 and 5 is 1.</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 18 and 5?</h2>

10 <p>To find the GCF of 18 and 5, a few methods are described below -</p>

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

12 <h2>GCF of 18 and 5 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 18 and 5 using the listing of<a>factors</a>:</p>

14 <p>Step 1: Firstly, list the factors of each number Factors of 18 = 1, 2, 3, 6, 9, 18. Factors of 5 = 1, 5.</p>

15 <p>Step 2: Now, identify the<a>common factors</a>of them Common factor of 18 and 5: 1.</p>

16 <p>Step 3: Choose the largest factor The largest factor that both numbers have is 1.</p>

17 <p>The GCF of 18 and 5 is 1.</p>

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20 <h2>GCF of 18 and 5 Using Prime Factorization</h2>

19 <h2>GCF of 18 and 5 Using Prime Factorization</h2>

21 <p>To find the GCF of 18 and 5 using the Prime Factorization Method, follow these steps:</p>

20 <p>To find the GCF of 18 and 5 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 18: 18 = 2 x 3 x 3 = 2 x 3² Prime factors of 5: 5 = 5.</p>

21 <p>Step 1: Find the<a>prime factors</a>of each number Prime factors of 18: 18 = 2 x 3 x 3 = 2 x 3² Prime factors of 5: 5 = 5.</p>

23 <p>Step 2: Now, identify the common prime factors There are no common prime factors.</p>

22 <p>Step 2: Now, identify the common prime factors There are no common prime factors.</p>

24 <p>Step 3: Since there are no common prime factors, the GCF is 1.</p>

23 <p>Step 3: Since there are no common prime factors, the GCF is 1.</p>

25 <h2>GCF of 18 and 5 Using Division Method or Euclidean Algorithm Method</h2>

24 <h2>GCF of 18 and 5 Using Division Method or Euclidean Algorithm Method</h2>

26 <p>Find the GCF of 18 and 5 using the<a>division</a>method or Euclidean Algorithm Method.</p>

25 <p>Find the GCF of 18 and 5 using the<a>division</a>method or Euclidean Algorithm Method.</p>

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

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

28 <p>Step 1: First, divide the larger number by the smaller number Here, divide 18 by 5 18 ÷ 5 = 3 (<a>quotient</a>), The<a>remainder</a>is calculated as 18 - (5×3) = 3 The remainder is 3, not zero, so continue the process.</p>

27 <p>Step 1: First, divide the larger number by the smaller number Here, divide 18 by 5 18 ÷ 5 = 3 (<a>quotient</a>), The<a>remainder</a>is calculated as 18 - (5×3) = 3 The remainder is 3, not zero, so continue the process.</p>

29 <p>Step 2: Now divide the previous divisor (5) by the previous remainder (3) Divide 5 by 3 5 ÷ 3 = 1 (quotient), remainder = 5 - (3×1) = 2.</p>

28 <p>Step 2: Now divide the previous divisor (5) by the previous remainder (3) Divide 5 by 3 5 ÷ 3 = 1 (quotient), remainder = 5 - (3×1) = 2.</p>

30 <p>Step 3: Now divide the previous divisor (3) by the previous remainder (2) Divide 3 by 2 3 ÷ 2 = 1 (quotient), remainder = 3 - (2×1) = 1.</p>

29 <p>Step 3: Now divide the previous divisor (3) by the previous remainder (2) Divide 3 by 2 3 ÷ 2 = 1 (quotient), remainder = 3 - (2×1) = 1.</p>

31 <p>Step 4: Now divide the previous divisor (2) by the previous remainder (1) Divide 2 by 1 2 ÷ 1 = 2 (quotient), remainder = 2 - (1×2) = 0, The remainder is zero; the divisor will become the GCF.</p>

30 <p>Step 4: Now divide the previous divisor (2) by the previous remainder (1) Divide 2 by 1 2 ÷ 1 = 2 (quotient), remainder = 2 - (1×2) = 0, The remainder is zero; the divisor will become the GCF.</p>

32 <p>The GCF of 18 and 5 is 1.</p>

31 <p>The GCF of 18 and 5 is 1.</p>

33 <h2>Common Mistakes and How to Avoid Them in GCF of 18 and 5</h2>

32 <h2>Common Mistakes and How to Avoid Them in GCF of 18 and 5</h2>

34 <p>Finding the GCF of 18 and 5 looks simple, but students often make mistakes while calculating the GCF.</p>

33 <p>Finding the GCF of 18 and 5 looks simple, but students often make mistakes while calculating the GCF.</p>

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

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

36 <h3>Problem 1</h3>

35 <h3>Problem 1</h3>

37 <p>A gardener has 18 roses and 5 lilies. 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>

36 <p>A gardener has 18 roses and 5 lilies. 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>

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

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

39 <p>We should find the GCF of 18 and 5. GCF of 18 and 5 is 1.</p>

38 <p>We should find the GCF of 18 and 5. GCF of 18 and 5 is 1.</p>

40 <p>There will be 1 group, and each group gets 18 roses and 5 lilies.</p>

39 <p>There will be 1 group, and each group gets 18 roses and 5 lilies.</p>

41 <h3>Explanation</h3>

40 <h3>Explanation</h3>

42 <p>As the GCF of 18 and 5 is 1, the gardener can make only 1 group.</p>

41 <p>As the GCF of 18 and 5 is 1, the gardener can make only 1 group.</p>

43 <p>This means all 18 roses and 5 lilies will be in one group.</p>

42 <p>This means all 18 roses and 5 lilies will be in one group.</p>

44 <p>Well explained 👍</p>

43 <p>Well explained 👍</p>

45 <h3>Problem 2</h3>

44 <h3>Problem 2</h3>

46 <p>A chef has 18 apples and 5 oranges. He wants to arrange them in rows with the same number of fruits in each row, using the largest possible number of fruits per row. How many fruits will be in each row?</p>

45 <p>A chef has 18 apples and 5 oranges. He wants to arrange them in rows with the same number of fruits in each row, using the largest possible number of fruits per row. How many fruits will be in each row?</p>

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

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

48 <p>GCF of 18 and 5 is 1.</p>

47 <p>GCF of 18 and 5 is 1.</p>

49 <p>So each row will have 1 fruit.</p>

48 <p>So each row will have 1 fruit.</p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p>There are 18 apples and 5 oranges.</p>

50 <p>There are 18 apples and 5 oranges.</p>

52 <p>To find the total number of fruits in each row, we should find the GCF of 18 and 5.</p>

51 <p>To find the total number of fruits in each row, we should find the GCF of 18 and 5.</p>

53 <p>There will be 1 fruit in each row.</p>

52 <p>There will be 1 fruit in each row.</p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h3>Problem 3</h3>

54 <h3>Problem 3</h3>

56 <p>A jeweler has 18 grams of gold and 5 grams of silver. She wants to split both into pieces of equal weight, using the longest possible length. What should be the weight of each piece?</p>

55 <p>A jeweler has 18 grams of gold and 5 grams of silver. She wants to split both into pieces of equal weight, using the longest possible length. What should be the weight of each piece?</p>

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

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

58 <p>For calculating the longest equal weight, we have to calculate the GCF of 18 and 5.</p>

57 <p>For calculating the longest equal weight, we have to calculate the GCF of 18 and 5.</p>

59 <p>The GCF of 18 and 5 is 1.</p>

58 <p>The GCF of 18 and 5 is 1.</p>

60 <p>The weight of each piece is 1 gram.</p>

59 <p>The weight of each piece is 1 gram.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>For calculating the longest weight of the pieces, first, we need to calculate the GCF of 18 and 5, which is 1.</p>

61 <p>For calculating the longest weight of the pieces, first, we need to calculate the GCF of 18 and 5, which is 1.</p>

63 <p>The weight of each piece will be 1 gram.</p>

62 <p>The weight of each piece will be 1 gram.</p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 4</h3>

64 <h3>Problem 4</h3>

66 <p>A construction worker has two metal rods, one 18 cm long and the other 5 cm long. He wants to cut them into the longest possible equal pieces, without any metal left over. What should be the length of each piece?</p>

65 <p>A construction worker has two metal rods, one 18 cm long and the other 5 cm long. He wants to cut them into the longest possible equal pieces, without any metal left over. What should be the length of each piece?</p>

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

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

68 <p>The worker needs the longest piece of metal. GCF of 18 and 5 is 1.</p>

67 <p>The worker needs the longest piece of metal. GCF of 18 and 5 is 1.</p>

69 <p>The longest length of each piece is 1 cm.</p>

68 <p>The longest length of each piece is 1 cm.</p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

71 <p>To find the longest length of each piece of the two metal rods, 18 cm and 5 cm, respectively, we have to find the GCF of 18 and 5, which is 1 cm.</p>

70 <p>To find the longest length of each piece of the two metal rods, 18 cm and 5 cm, respectively, we have to find the GCF of 18 and 5, which is 1 cm.</p>

72 <p>The longest length of each piece is 1 cm.</p>

71 <p>The longest length of each piece is 1 cm.</p>

73 <p>Well explained 👍</p>

72 <p>Well explained 👍</p>

74 <h3>Problem 5</h3>

73 <h3>Problem 5</h3>

75 <p>If the GCF of 18 and 'b' is 1, and the LCM is 90, find 'b'.</p>

74 <p>If the GCF of 18 and 'b' is 1, and the LCM is 90, find 'b'.</p>

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

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

77 <p>The value of 'b' is 5.</p>

76 <p>The value of 'b' is 5.</p>

78 <h3>Explanation</h3>

77 <h3>Explanation</h3>

79 <p>GCF x LCM = product of the numbers 1 × 90 = 18 × b 90 = 18b b = 90 ÷ 18 = 5</p>

78 <p>GCF x LCM = product of the numbers 1 × 90 = 18 × b 90 = 18b b = 90 ÷ 18 = 5</p>

80 <p>Well explained 👍</p>

79 <p>Well explained 👍</p>

81 <h2>FAQs on the Greatest Common Factor of 18 and 5</h2>

80 <h2>FAQs on the Greatest Common Factor of 18 and 5</h2>

82 <h3>1.What is the LCM of 18 and 5?</h3>

81 <h3>1.What is the LCM of 18 and 5?</h3>

83 <p>The LCM of 18 and 5 is 90.</p>

82 <p>The LCM of 18 and 5 is 90.</p>

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

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

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

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

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

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

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

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

88 <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>

87 <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>

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

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

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

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

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

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

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

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

93 <p>However, 5 is a prime number because it has exactly two factors: 1 and 5.</p>

92 <p>However, 5 is a prime number because it has exactly two factors: 1 and 5.</p>

94 <h2>Important Glossaries for GCF of 18 and 5</h2>

93 <h2>Important Glossaries for GCF of 18 and 5</h2>

95 <ul><li><strong>Factors</strong>: Factors are numbers that divide the target number completely. For example, the factors of 18 are 1, 2, 3, 6, 9, and 18.</li>

94 <ul><li><strong>Factors</strong>: Factors are numbers that divide the target number completely. For example, the factors of 18 are 1, 2, 3, 6, 9, and 18.</li>

96 </ul><ul><li><strong>Prime Number</strong>: A number greater than 1 with no divisors other than 1 and itself. For example, 5 is a prime number.</li>

95 </ul><ul><li><strong>Prime Number</strong>: A number greater than 1 with no divisors other than 1 and itself. For example, 5 is a prime number.</li>

97 </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>

96 </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>

98 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 18 is divided by 5, the remainder is 3.</li>

97 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 18 is divided by 5, the remainder is 3.</li>

99 </ul><ul><li><strong>Co-prime</strong>: Two numbers are co-prime if their greatest common factor is 1. For example, 18 and 5 are co-prime numbers.</li>

98 </ul><ul><li><strong>Co-prime</strong>: Two numbers are co-prime if their greatest common factor is 1. For example, 18 and 5 are co-prime numbers.</li>

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

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

101 <p>▶</p>

100 <p>▶</p>

102 <h2>Hiralee Lalitkumar Makwana</h2>

101 <h2>Hiralee Lalitkumar Makwana</h2>

103 <h3>About the Author</h3>

102 <h3>About the Author</h3>

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>

103 <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>

105 <h3>Fun Fact</h3>

104 <h3>Fun Fact</h3>

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

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