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1 - <p>131 Learners</p>

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2 <p>Last updated on<strong>September 23, 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 50.</p>

4 <h2>What is the GCF of 8 and 50?</h2>

5 <p>The<a>greatest common factor</a>of 8 and 50 is 2.</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 8 and 50?</h2>

10 <p>To find the GCF of 8 and 50, a few methods are described below -</p>

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

12 <h2>GCF of 8 and 50 by Using Listing of Factors</h2>

13 <p>Steps to find the GCF of 8 and 50 using the listing of<a>factors</a>:</p>

14 <p>Step 1: Firstly, list the factors of each number Factors of 8 = 1, 2, 4, 8. Factors of 50 = 1, 2, 5, 10, 25, 50.</p>

15 <p>Step 2: Now, identify the<a>common factors</a>of them Common factors of 8 and 50: 1, 2.</p>

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

17 <p>The GCF of 8 and 50 is 2.</p>

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20 <h2>GCF of 8 and 50 Using Prime Factorization</h2>

19 <h2>GCF of 8 and 50 Using Prime Factorization</h2>

21 <p>To find the GCF of 8 and 50 using the Prime Factorization Method, follow these steps:</p>

20 <p>To find the GCF of 8 and 50 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 8: 8 = 2 x 2 x 2 = 2³ Prime Factors of 50: 50 = 2 x 5 x 5 = 2 x 5²</p>

21 <p>Step 1: Find the<a>prime factors</a>of each number Prime Factors of 8: 8 = 2 x 2 x 2 = 2³ Prime Factors of 50: 50 = 2 x 5 x 5 = 2 x 5²</p>

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

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

24 <p>Step 3: Multiply the common prime factors, The Greatest Common Factor of 8 and 50 is 2.</p>

23 <p>Step 3: Multiply the common prime factors, The Greatest Common Factor of 8 and 50 is 2.</p>

25 <h2>GCF of 8 and 50 Using Division Method or Euclidean Algorithm Method</h2>

24 <h2>GCF of 8 and 50 Using Division Method or Euclidean Algorithm Method</h2>

26 <p>Find the GCF of 8 and 50 using the<a>division</a>method or Euclidean Algorithm Method.</p>

25 <p>Find the GCF of 8 and 50 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 50 by 8 50 ÷ 8 = 6 (<a>quotient</a>), The<a>remainder</a>is calculated as 50 - (8×6) = 2 The remainder is 2, not zero, so continue the process.</p>

27 <p>Step 1: First, divide the larger number by the smaller number Here, divide 50 by 8 50 ÷ 8 = 6 (<a>quotient</a>), The<a>remainder</a>is calculated as 50 - (8×6) = 2 The remainder is 2, not zero, so continue the process.</p>

29 <p>Step 2: Now divide the previous divisor (8) by the previous remainder (2) Divide 8 by 2 8 ÷ 2 = 4 (quotient), remainder = 8 - (2×4) = 0 The remainder is zero, the divisor will become the GCF.</p>

28 <p>Step 2: Now divide the previous divisor (8) by the previous remainder (2) Divide 8 by 2 8 ÷ 2 = 4 (quotient), remainder = 8 - (2×4) = 0 The remainder is zero, the divisor will become the GCF.</p>

30 <p>The GCF of 8 and 50 is 2.</p>

29 <p>The GCF of 8 and 50 is 2.</p>

31 <h2>Common Mistakes and How to Avoid Them in GCF of 8 and 50</h2>

30 <h2>Common Mistakes and How to Avoid Them in GCF of 8 and 50</h2>

32 <p>Finding GCF of 8 and 50 looks simple, but students often make mistakes while calculating the GCF.</p>

31 <p>Finding GCF of 8 and 50 looks simple, but students often make mistakes while calculating the GCF.</p>

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

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

34 <h3>Problem 1</h3>

33 <h3>Problem 1</h3>

35 <p>A baker has 8 loaves of bread and 50 muffins. He wants to package them into equal sets, with the largest number of items in each set. How many items will be in each set?</p>

34 <p>A baker has 8 loaves of bread and 50 muffins. He wants to package them into equal sets, with the largest number of items in each set. How many items will be in each set?</p>

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

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

37 <p>We should find the GCF of 8 and 50 GCF of 8 and 50 is 2.</p>

36 <p>We should find the GCF of 8 and 50 GCF of 8 and 50 is 2.</p>

38 <p>There are 2 equal groups 8 ÷ 2 = 4 50 ÷ 2 = 25, There will be 2 groups, and each group gets 4 loaves of bread and 25 muffins.</p>

37 <p>There are 2 equal groups 8 ÷ 2 = 4 50 ÷ 2 = 25, There will be 2 groups, and each group gets 4 loaves of bread and 25 muffins.</p>

39 <h3>Explanation</h3>

38 <h3>Explanation</h3>

40 <p>As the GCF of 8 and 50 is 2, the baker can make 2 groups.</p>

39 <p>As the GCF of 8 and 50 is 2, the baker can make 2 groups.</p>

41 <p>Now divide 8 and 50 by 2.</p>

40 <p>Now divide 8 and 50 by 2.</p>

42 <p>Each group gets 4 loaves of bread and 25 muffins.</p>

41 <p>Each group gets 4 loaves of bread and 25 muffins.</p>

43 <p>Well explained 👍</p>

42 <p>Well explained 👍</p>

44 <h3>Problem 2</h3>

43 <h3>Problem 2</h3>

45 <p>A school has 8 red flags and 50 blue flags. They want to arrange them in rows with the same number of flags in each row, using the largest possible number of flags per row. How many flags will be in each row?</p>

44 <p>A school has 8 red flags and 50 blue flags. They want to arrange them in rows with the same number of flags in each row, using the largest possible number of flags per row. How many flags will be in each row?</p>

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

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

47 <p>GCF of 8 and 50 is 2.</p>

46 <p>GCF of 8 and 50 is 2.</p>

48 <p>So each row will have 2 flags.</p>

47 <p>So each row will have 2 flags.</p>

49 <h3>Explanation</h3>

48 <h3>Explanation</h3>

50 <p>There are 8 red and 50 blue flags.</p>

49 <p>There are 8 red and 50 blue flags.</p>

51 <p>To find the total number of flags in each row, we should find the GCF of 8 and 50.</p>

50 <p>To find the total number of flags in each row, we should find the GCF of 8 and 50.</p>

52 <p>There will be 2 flags in each row.</p>

51 <p>There will be 2 flags in each row.</p>

53 <p>Well explained 👍</p>

52 <p>Well explained 👍</p>

54 <h3>Problem 3</h3>

53 <h3>Problem 3</h3>

55 <p>A tailor has 8 meters of fabric and 50 meters of thread. She wants to cut both into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

54 <p>A tailor has 8 meters of fabric and 50 meters of thread. She wants to cut both into pieces of equal length, using the longest possible length. What should be the length of each piece?</p>

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

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

57 <p>For calculating the longest equal length, we have to calculate the GCF of 8 and 50, The GCF of 8 and 50 is 2.</p>

56 <p>For calculating the longest equal length, we have to calculate the GCF of 8 and 50, The GCF of 8 and 50 is 2.</p>

58 <p>Each piece should be 2 meters long.</p>

57 <p>Each piece should be 2 meters long.</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <p>For calculating the longest length of the fabric and thread, first we need to calculate the GCF of 8 and 50, which is 2.</p>

59 <p>For calculating the longest length of the fabric and thread, first we need to calculate the GCF of 8 and 50, which is 2.</p>

61 <p>The length of each piece will be 2 meters.</p>

60 <p>The length of each piece will be 2 meters.</p>

62 <p>Well explained 👍</p>

61 <p>Well explained 👍</p>

63 <h3>Problem 4</h3>

62 <h3>Problem 4</h3>

64 <p>A carpenter has two wooden planks, one 8 cm long and the other 50 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>

63 <p>A carpenter has two wooden planks, one 8 cm long and the other 50 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>

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

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

66 <p>The carpenter needs the longest piece of wood The GCF of 8 and 50 is 2.</p>

65 <p>The carpenter needs the longest piece of wood The GCF of 8 and 50 is 2.</p>

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

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

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>To find the longest length of each piece of the two wooden planks, 8 cm and 50 cm, respectively, we have to find the GCF of 8 and 50, which is 2 cm.</p>

68 <p>To find the longest length of each piece of the two wooden planks, 8 cm and 50 cm, respectively, we have to find the GCF of 8 and 50, which is 2 cm.</p>

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

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

71 <p>Well explained 👍</p>

70 <p>Well explained 👍</p>

72 <h3>Problem 5</h3>

71 <h3>Problem 5</h3>

73 <p>If the GCF of 8 and ‘b’ is 2, and the LCM is 200, find ‘b’.</p>

72 <p>If the GCF of 8 and ‘b’ is 2, and the LCM is 200, find ‘b’.</p>

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

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

75 <p>The value of ‘b’ is 50.</p>

74 <p>The value of ‘b’ is 50.</p>

76 <h3>Explanation</h3>

75 <h3>Explanation</h3>

77 <p>GCF x LCM = product of the numbers 2 x 200 = 8 x b 400 = 8b b = 400 ÷ 8 = 50</p>

76 <p>GCF x LCM = product of the numbers 2 x 200 = 8 x b 400 = 8b b = 400 ÷ 8 = 50</p>

78 <p>Well explained 👍</p>

77 <p>Well explained 👍</p>

79 <h2>FAQs on the Greatest Common Factor of 8 and 50</h2>

78 <h2>FAQs on the Greatest Common Factor of 8 and 50</h2>

80 <h3>1.What is the LCM of 8 and 50?</h3>

79 <h3>1.What is the LCM of 8 and 50?</h3>

81 <p>The LCM of 8 and 50 is 200.</p>

80 <p>The LCM of 8 and 50 is 200.</p>

82 <h3>2.Is 8 divisible by 4?</h3>

81 <h3>2.Is 8 divisible by 4?</h3>

83 <p>Yes, 8 is divisible by 4 because 8 ÷ 4 = 2.</p>

82 <p>Yes, 8 is divisible by 4 because 8 ÷ 4 = 2.</p>

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

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

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

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

86 <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>

85 <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 <h3>4.What is the prime factorization of 50?</h3>

86 <h3>4.What is the prime factorization of 50?</h3>

88 <p>The prime factorization of 50 is 2 x 5².</p>

87 <p>The prime factorization of 50 is 2 x 5².</p>

89 <h3>5.Are 8 and 50 prime numbers?</h3>

88 <h3>5.Are 8 and 50 prime numbers?</h3>

90 <p>No, 8 and 50 are not prime numbers because both of them have more than two factors.</p>

89 <p>No, 8 and 50 are not prime numbers because both of them have more than two factors.</p>

91 <h2>Important Glossaries for GCF of 8 and 50</h2>

90 <h2>Important Glossaries for GCF of 8 and 50</h2>

92 <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>

91 <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>

93 </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>

92 </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>

94 </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 50 are 2 and 5.</li>

93 </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 50 are 2 and 5.</li>

95 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 50 is divided by 8, the remainder is 2 and the quotient is 6.</li>

94 </ul><ul><li><strong>Remainder</strong>: The value left after division when the number cannot be divided evenly. For example, when 50 is divided by 8, the remainder is 2 and the quotient is 6.</li>

96 </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 50 is 200.</li>

95 </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 50 is 200.</li>

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

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

98 <p>▶</p>

97 <p>▶</p>

99 <h2>Hiralee Lalitkumar Makwana</h2>

98 <h2>Hiralee Lalitkumar Makwana</h2>

100 <h3>About the Author</h3>

99 <h3>About the Author</h3>

101 <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 <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>

102 <h3>Fun Fact</h3>

101 <h3>Fun Fact</h3>

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

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