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1 - <p>132 Learners</p>

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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 the items equally, to group or arrange items and schedule events. In this topic, we will learn about the GCF of 16 and 80.</p>

4 <h2>What is the GCF of 16 and 80?</h2>

5 <p>The<a>greatest common factor</a><a>of</a>16 and 80 is 16. 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 16 and 80?</h2>

8 <p>To find the GCF of 16 and 80, 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><h3>GCF of 16 and 80 by Using Listing of Factors</h3>

13 <p>Steps to find the GCF of 16 and 80 using the listing of<a>factors</a></p>

14 <p><strong>Step 1:</strong>Firstly, list the factors of each number Factors of 16 = 1, 2, 4, 8, 16. Factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.</p>

15 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 16 and 80: 1, 2, 4, 8, 16.</p>

16 <p><strong>Step 3:</strong>Choose the largest factor The largest factor that both numbers have is 16. The GCF of 16 and 80 is 16.</p>

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19 <h3>GCF of 16 and 80 Using Prime Factorization</h3>

18 <h3>GCF of 16 and 80 Using Prime Factorization</h3>

20 <p>To find the GCF of 16 and 80 using Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 16 and 80 using 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 16: 16 = 2 x 2 x 2 x 2 = 2⁴ Prime Factors of 80: 80 = 2 x 2 x 2 x 2 x 5 = 2⁴ x 5</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number Prime Factors of 16: 16 = 2 x 2 x 2 x 2 = 2⁴ Prime Factors of 80: 80 = 2 x 2 x 2 x 2 x 5 = 2⁴ x 5</p>

22 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 x 2 x 2 x 2 = 2⁴</p>

21 <p><strong>Step 2:</strong>Now, identify the common prime factors The common prime factors are: 2 x 2 x 2 x 2 = 2⁴</p>

23 <p><strong>Step 3:</strong>Multiply the common prime factors 2⁴ = 16. The Greatest Common Factor of 16 and 80 is 16.</p>

22 <p><strong>Step 3:</strong>Multiply the common prime factors 2⁴ = 16. The Greatest Common Factor of 16 and 80 is 16.</p>

24 <h3>GCF of 16 and 80 Using Division Method or Euclidean Algorithm Method</h3>

23 <h3>GCF of 16 and 80 Using Division Method or Euclidean Algorithm Method</h3>

25 <p>Find the GCF of 16 and 80 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

24 <p>Find the GCF of 16 and 80 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 80 by 16 80 ÷ 16 = 5 (<a>quotient</a>), The<a>remainder</a>is calculated as 80 - (16×5) = 0 The remainder is zero, so the divisor becomes the GCF.</p>

25 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 80 by 16 80 ÷ 16 = 5 (<a>quotient</a>), The<a>remainder</a>is calculated as 80 - (16×5) = 0 The remainder is zero, so the divisor becomes the GCF.</p>

27 <p>The GCF of 16 and 80 is 16.</p>

26 <p>The GCF of 16 and 80 is 16.</p>

28 <h2>Common Mistakes and How to Avoid Them in GCF of 16 and 80</h2>

27 <h2>Common Mistakes and How to Avoid Them in GCF of 16 and 80</h2>

29 <p>Finding GCF of 16 and 80 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 GCF of 16 and 80 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 painter has 16 brushes and 80 tubes of paint. He wants to organize them into sets, with the largest number of items in each set. How many items will be in each set?</p>

30 <p>A painter has 16 brushes and 80 tubes of paint. He wants to organize them into 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 GCF of 16 and 80 GCF of 16 and 80 2⁴ = 16. There are 16 equal groups 16 ÷ 16 = 1 80 ÷ 16 = 5 There will be 16 groups, and each group gets 1 brush and 5 tubes of paint.</p>

32 <p>We should find GCF of 16 and 80 GCF of 16 and 80 2⁴ = 16. There are 16 equal groups 16 ÷ 16 = 1 80 ÷ 16 = 5 There will be 16 groups, and each group gets 1 brush and 5 tubes of paint.</p>

34 <h3>Explanation</h3>

33 <h3>Explanation</h3>

35 <p>As the GCF of 16 and 80 is 16, the painter can make 16 groups.</p>

34 <p>As the GCF of 16 and 80 is 16, the painter can make 16 groups.</p>

36 <p>Now divide 16 and 80 by 16.</p>

35 <p>Now divide 16 and 80 by 16.</p>

37 <p>Each group gets 1 brush and 5 tubes of paint.</p>

36 <p>Each group gets 1 brush and 5 tubes of paint.</p>

38 <p>Well explained 👍</p>

37 <p>Well explained 👍</p>

39 <h3>Problem 2</h3>

38 <h3>Problem 2</h3>

40 <p>A school has 16 apples and 80 bananas. They want to arrange them in baskets with the same number of fruits in each basket, using the largest possible number of fruits per basket. How many fruits will be in each basket?</p>

39 <p>A school has 16 apples and 80 bananas. They want to arrange them in baskets with the same number of fruits in each basket, using the largest possible number of fruits per basket. How many fruits will be in each basket?</p>

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

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

42 <p>GCF of 16 and 80 2⁴ = 16. So each basket will have 16 fruits.</p>

41 <p>GCF of 16 and 80 2⁴ = 16. So each basket will have 16 fruits.</p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>There are 16 apples and 80 bananas.</p>

43 <p>There are 16 apples and 80 bananas.</p>

45 <p>To find the total number of fruits in each basket, we should find the GCF of 16 and 80.</p>

44 <p>To find the total number of fruits in each basket, we should find the GCF of 16 and 80.</p>

46 <p>There will be 16 fruits in each basket.</p>

45 <p>There will be 16 fruits in each basket.</p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 3</h3>

47 <h3>Problem 3</h3>

49 <p>A decorator has 16 meters of blue ribbon and 80 meters of yellow 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>

48 <p>A decorator has 16 meters of blue ribbon and 80 meters of yellow 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>

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

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

51 <p>For calculating longest equal length, we have to calculate the GCF of 16 and 80 The GCF of 16 and 80 2⁴ = 16. The ribbon pieces are 16 meters long.</p>

50 <p>For calculating longest equal length, we have to calculate the GCF of 16 and 80 The GCF of 16 and 80 2⁴ = 16. The ribbon pieces are 16 meters long.</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>For calculating the longest length of the ribbon first we need to calculate the GCF of 16 and 80 which is 16.</p>

52 <p>For calculating the longest length of the ribbon first we need to calculate the GCF of 16 and 80 which is 16.</p>

54 <p>The length of each piece of the ribbon will be 16 meters.</p>

53 <p>The length of each piece of the ribbon will be 16 meters.</p>

55 <p>Well explained 👍</p>

54 <p>Well explained 👍</p>

56 <h3>Problem 4</h3>

55 <h3>Problem 4</h3>

57 <p>A carpenter has two wooden planks, one 16 cm long and the other 80 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>

56 <p>A carpenter has two wooden planks, one 16 cm long and the other 80 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>

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

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

59 <p>The carpenter needs the longest piece of wood GCF of 16 and 80 2⁴ = 16. The longest length of each piece is 16 cm.</p>

58 <p>The carpenter needs the longest piece of wood GCF of 16 and 80 2⁴ = 16. The longest length of each piece is 16 cm.</p>

60 <h3>Explanation</h3>

59 <h3>Explanation</h3>

61 <p>To find the longest length of each piece of the two wooden planks, 16 cm and 80 cm, respectively.</p>

60 <p>To find the longest length of each piece of the two wooden planks, 16 cm and 80 cm, respectively.</p>

62 <p>We have to find the GCF of 16 and 80, which is 16 cm.</p>

61 <p>We have to find the GCF of 16 and 80, which is 16 cm.</p>

63 <p>The longest length of each piece is 16 cm.</p>

62 <p>The longest length of each piece is 16 cm.</p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 5</h3>

64 <h3>Problem 5</h3>

66 <p>If the GCF of 16 and ‘b’ is 8, and the LCM is 160. Find ‘b’.</p>

65 <p>If the GCF of 16 and ‘b’ is 8, and the LCM is 160. Find ‘b’.</p>

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

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

68 <p>The value of ‘b’ is 80.</p>

67 <p>The value of ‘b’ is 80.</p>

69 <h3>Explanation</h3>

68 <h3>Explanation</h3>

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

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

71 <p>8 × 160</p>

70 <p>8 × 160</p>

72 <p>= 16 × b 1280</p>

71 <p>= 16 × b 1280</p>

73 <p>= 16b b</p>

72 <p>= 16b b</p>

74 <p>= 1280 ÷ 16 = 80</p>

73 <p>= 1280 ÷ 16 = 80</p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h2>FAQs on the Greatest Common Factor of 16 and 80</h2>

75 <h2>FAQs on the Greatest Common Factor of 16 and 80</h2>

77 <h3>1.What is the LCM of 16 and 80?</h3>

76 <h3>1.What is the LCM of 16 and 80?</h3>

78 <p>The LCM of 16 and 80 is 80.</p>

77 <p>The LCM of 16 and 80 is 80.</p>

79 <h3>2.Is 16 divisible by 2?</h3>

78 <h3>2.Is 16 divisible by 2?</h3>

80 <p>Yes, 16 is divisible by 2 because it is an even number.</p>

79 <p>Yes, 16 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 80?</h3>

82 <h3>4.What is the prime factorization of 80?</h3>

84 <p>The prime factorization of 80 is 2⁴ x 5.</p>

83 <p>The prime factorization of 80 is 2⁴ x 5.</p>

85 <h3>5.Are 16 and 80 prime numbers?</h3>

84 <h3>5.Are 16 and 80 prime numbers?</h3>

86 <p>No, 16 and 80 are not prime numbers because both of them have more than two factors.</p>

85 <p>No, 16 and 80 are not prime numbers because both of them have more than two factors.</p>

87 <h2>Important Glossaries for GCF of 16 and 80</h2>

86 <h2>Important Glossaries for GCF of 16 and 80</h2>

88 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 16 are 1, 2, 4, 8, and 16.</li>

87 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 16 are 1, 2, 4, 8, and 16.</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 5 are 5, 10, 15, 20, 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 5 are 5, 10, 15, 20, 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 factors of 80 are 2 and 5.</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 factors of 80 are 2 and 5.</li>

91 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 17 is divided by 5, the remainder is 2 and the quotient is 3.</li>

90 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 17 is divided by 5, the remainder is 2 and the quotient is 3.</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 16 and 80 is 80.</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 16 and 80 is 80.</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>