Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>132 Learners</p>

1 + <p>165 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, group or arrange items, and schedule events. In this topic, we will learn about the GCF of 64 and 80.</p>

4 <h2>What is the GCF of 64 and 80?</h2>

5 <p>The<a>greatest common factor</a>of 64 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 64 and 80?</h2>

8 <p>To find the GCF of 64 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><h2>GCF of 64 and 80 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 64 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 64 = 1, 2, 4, 8, 16, 32, 64. 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 64 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 64 and 80 is 16.</p>

17 <h3>Explore Our Programs</h3>

18 - <p>No Courses Available</p>

19 <h2>GCF of 64 and 80 Using Prime Factorization</h2>

18 <h2>GCF of 64 and 80 Using Prime Factorization</h2>

20 <p>To find the GCF of 64 and 80 using the Prime Factorization Method, follow these steps:</p>

19 <p>To find the GCF of 64 and 80 using the Prime Factorization Method, follow these steps:</p>

21 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>

20 <p><strong>Step 1:</strong>Find the<a>prime factors</a>of each number</p>

22 <p>Prime Factors of 64: 64 = 2 x 2 x 2 x 2 x 2 x 2 = 26</p>

21 <p>Prime Factors of 64: 64 = 2 x 2 x 2 x 2 x 2 x 2 = 26</p>

23 <p>Prime Factors of 80: 80 = 2 x 2 x 2 x 2 x 5 = 24 x 5</p>

22 <p>Prime Factors of 80: 80 = 2 x 2 x 2 x 2 x 5 = 24 x 5</p>

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

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

25 <p>Step 3: Multiply the common prime factors 24 = 16. The Greatest Common Factor of 64 and 80 is 16.</p>

24 <p>Step 3: Multiply the common prime factors 24 = 16. The Greatest Common Factor of 64 and 80 is 16.</p>

26 <h2>GCF of 64 and 80 Using Division Method or Euclidean Algorithm Method</h2>

25 <h2>GCF of 64 and 80 Using Division Method or Euclidean Algorithm Method</h2>

27 <p>Find the GCF of 64 and 80 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

26 <p>Find the GCF of 64 and 80 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

28 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 80 by 64 80 ÷ 64 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 80 - (64 x 1) = 16 The remainder is 16, not zero, so continue the process</p>

27 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 80 by 64 80 ÷ 64 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 80 - (64 x 1) = 16 The remainder is 16, not zero, so continue the process</p>

29 <p><strong>Step 2:</strong>Now divide the previous divisor (64) by the previous remainder (16) Divide 64 by 16 64 ÷ 16 = 4 (quotient), remainder = 64 - (16 x 4) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 64 and 80 is 16.</p>

28 <p><strong>Step 2:</strong>Now divide the previous divisor (64) by the previous remainder (16) Divide 64 by 16 64 ÷ 16 = 4 (quotient), remainder = 64 - (16 x 4) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 64 and 80 is 16.</p>

30 <h2>Common Mistakes and How to Avoid Them in GCF of 64 and 80</h2>

29 <h2>Common Mistakes and How to Avoid Them in GCF of 64 and 80</h2>

31 <p>Finding the GCF of 64 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 <p>Finding the GCF of 64 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>

32 <h3>Problem 1</h3>

31 <h3>Problem 1</h3>

33 <p>A farmer has 64 apple trees and 80 orange trees. He wants to plant them in rows with the same number of trees of each type. How many trees will be in each row?</p>

32 <p>A farmer has 64 apple trees and 80 orange trees. He wants to plant them in rows with the same number of trees of each type. How many trees will be in each row?</p>

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

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

35 <p>We should find the GCF of 64 and 80 GCF of 64 and 80 2^4 = 16. There are 16 equal groups 64 ÷ 16 = 4 80 ÷ 16 = 5 There will be 16 rows, and each row will have 4 apple trees and 5 orange trees.</p>

34 <p>We should find the GCF of 64 and 80 GCF of 64 and 80 2^4 = 16. There are 16 equal groups 64 ÷ 16 = 4 80 ÷ 16 = 5 There will be 16 rows, and each row will have 4 apple trees and 5 orange trees.</p>

36 <h3>Explanation</h3>

35 <h3>Explanation</h3>

37 <p>As the GCF of 64 and 80 is 16, the farmer can make 16 rows.</p>

36 <p>As the GCF of 64 and 80 is 16, the farmer can make 16 rows.</p>

38 <p>Now divide 64 and 80 by 16.</p>

37 <p>Now divide 64 and 80 by 16.</p>

39 <p>Each row will have 4 apple trees and 5 orange trees.</p>

38 <p>Each row will have 4 apple trees and 5 orange trees.</p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 2</h3>

40 <h3>Problem 2</h3>

42 <p>A library has 64 fiction books and 80 non-fiction books. They want to arrange them on shelves with the same number of books on each shelf. How many books will be on each shelf?</p>

41 <p>A library has 64 fiction books and 80 non-fiction books. They want to arrange them on shelves with the same number of books on each shelf. How many books will be on each shelf?</p>

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

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

44 <p>GCF of 64 and 80 2^4 = 16. So each shelf will have 16 books.</p>

43 <p>GCF of 64 and 80 2^4 = 16. So each shelf will have 16 books.</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

46 <p>There are 64 fiction and 80 non-fiction books.</p>

45 <p>There are 64 fiction and 80 non-fiction books.</p>

47 <p>To find the total number of books on each shelf, we should find the GCF of 64 and 80.</p>

46 <p>To find the total number of books on each shelf, we should find the GCF of 64 and 80.</p>

48 <p>There will be 16 books on each shelf.</p>

47 <p>There will be 16 books on each shelf.</p>

49 <p>Well explained 👍</p>

48 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

49 <h3>Problem 3</h3>

51 <p>A tailor has 64 meters of red fabric and 80 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>

50 <p>A tailor has 64 meters of red fabric and 80 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>

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

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

53 <p>For calculating the longest equal length, we have to calculate the GCF of 64 and 80 The GCF of 64 and 80 2^4 = 16. The fabric is 16 meters long.</p>

52 <p>For calculating the longest equal length, we have to calculate the GCF of 64 and 80 The GCF of 64 and 80 2^4 = 16. The fabric is 16 meters long.</p>

54 <h3>Explanation</h3>

53 <h3>Explanation</h3>

55 <p>For calculating the longest length of the fabric first we need to calculate the GCF of 64 and 80, which is 16.</p>

54 <p>For calculating the longest length of the fabric first we need to calculate the GCF of 64 and 80, which is 16.</p>

56 <p>The length of each piece of the fabric will be 16 meters.</p>

55 <p>The length of each piece of the fabric will be 16 meters.</p>

57 <p>Well explained 👍</p>

56 <p>Well explained 👍</p>

58 <h3>Problem 4</h3>

57 <h3>Problem 4</h3>

59 <p>A carpenter has two wooden planks, one 64 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>A carpenter has two wooden planks, one 64 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>

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

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

61 <p>The carpenter needs the longest piece of wood GCF of 64 and 80 2^4 = 16. The longest length of each piece is 16 cm.</p>

60 <p>The carpenter needs the longest piece of wood GCF of 64 and 80 2^4 = 16. The longest length of each piece is 16 cm.</p>

62 <h3>Explanation</h3>

61 <h3>Explanation</h3>

63 <p>To find the longest length of each piece of the two wooden planks, 64 cm and 80 cm, respectively.</p>

62 <p>To find the longest length of each piece of the two wooden planks, 64 cm and 80 cm, respectively.</p>

64 <p>We have to find the GCF of 64 and 80, which is 16 cm.</p>

63 <p>We have to find the GCF of 64 and 80, which is 16 cm.</p>

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

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

66 <p>Well explained 👍</p>

65 <p>Well explained 👍</p>

67 <h3>Problem 5</h3>

66 <h3>Problem 5</h3>

68 <p>If the GCF of 64 and ‘b’ is 16, and the LCM is 320. Find ‘b’.</p>

67 <p>If the GCF of 64 and ‘b’ is 16, and the LCM is 320. Find ‘b’.</p>

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

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

70 <p>The value of ‘b’ is 80.</p>

69 <p>The value of ‘b’ is 80.</p>

71 <h3>Explanation</h3>

70 <h3>Explanation</h3>

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

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

73 <p>16 × 320</p>

72 <p>16 × 320</p>

74 <p>= 64 × b</p>

73 <p>= 64 × b</p>

75 <p>5120 = 64b</p>

74 <p>5120 = 64b</p>

76 <p>b = 5120 ÷ 64 = 80</p>

75 <p>b = 5120 ÷ 64 = 80</p>

77 <p>Well explained 👍</p>

76 <p>Well explained 👍</p>

78 <h2>FAQs on the Greatest Common Factor of 64 and 80</h2>

77 <h2>FAQs on the Greatest Common Factor of 64 and 80</h2>

79 <h3>1.What is the LCM of 64 and 80?</h3>

78 <h3>1.What is the LCM of 64 and 80?</h3>

80 <p>The LCM of 64 and 80 is 320.</p>

79 <p>The LCM of 64 and 80 is 320.</p>

81 <h3>2.Is 64 divisible by 2?</h3>

80 <h3>2.Is 64 divisible by 2?</h3>

82 <p>Yes, 64 is divisible by 2 because it is an even number.</p>

81 <p>Yes, 64 is divisible by 2 because it is an even number.</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. 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 <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>

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

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

86 <p>The prime factorization of 80 is 2^4 x 5.</p>

85 <p>The prime factorization of 80 is 2^4 x 5.</p>

87 <h3>5.Are 64 and 80 prime numbers?</h3>

86 <h3>5.Are 64 and 80 prime numbers?</h3>

88 <p>No, 64 and 80 are not prime numbers because both of them have more than two factors.</p>

87 <p>No, 64 and 80 are not prime numbers because both of them have more than two factors.</p>

89 <h2>Important Glossaries for GCF of 64 and 80</h2>

88 <h2>Important Glossaries for GCF of 64 and 80</h2>

90 <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><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>

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 4 are 4, 8, 12, 16, 20, and so on.</li>

90 </ul><ul><li><strong>Multiple:</strong>Multiples are the products we get by multiplying a given number by another. For example, the multiples of 4 are 4, 8, 12, 16, 20, and so on.</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 80 are 2 and 5.</li>

91 </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>

93 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 80 is divided by 64, the remainder is 16 and the quotient is 1.</li>

92 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 80 is divided by 64, the remainder is 16 and the quotient is 1.</li>

94 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 64 and 80 is 320.</li>

93 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 64 and 80 is 320.</li>

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

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

96 <p>▶</p>

95 <p>▶</p>

97 <h2>Hiralee Lalitkumar Makwana</h2>

96 <h2>Hiralee Lalitkumar Makwana</h2>

98 <h3>About the Author</h3>

97 <h3>About the Author</h3>

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>

98 <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>

100 <h3>Fun Fact</h3>

99 <h3>Fun Fact</h3>

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

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