Rivalry2

HTML Diff

1 added 2 removed

Original 2026-01-01

Modified 2026-02-28

1 - <p>160 Learners</p>

1 + <p>196 Learners</p>

2 <p>Last updated on<strong>August 5, 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 18 and 35.</p>

4 <h2>What is the GCF of 18 and 35?</h2>

5 <p>The<a>greatest common factor</a><a>of</a>18 and 35 is 1. The largest<a>divisor</a>of two or more<a>numbers</a>is called the GCF of the number. 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>

6 <h2>How to find the GCF of 18 and 35?</h2>

7 <p>To find the GCF of 18 and 35, a few methods are described below:</p>

8 <ul><li>Listing Factors</li>

9 </ul><ul><li>Prime Factorization</li>

10 </ul><ul><li>Long Division Method / by Euclidean Algorithm</li>

11 </ul><h3>GCF of 18 and 35 by Using Listing of factors</h3>

12 <p>Steps to find the GCF of 18 and 35 using the listing of<a>factors</a>:</p>

13 <p><strong>Step 1:</strong>Firstly, list the factors of each number:</p>

14 <p>Factors of 18 = 1, 2, 3, 6, 9, 18.</p>

15 <p>Factors of 35 = 1, 5, 7, 35.</p>

16 <p><strong>Step 2:</strong>Now, identify the<a>common factors</a>of them Common factors of 18 and 35: 1.</p>

17 <p><strong>Step 3:</strong>Choose the largest factor.</p>

18 <p>The largest factor that both numbers have is 1.</p>

19 <p>The GCF of 18 and 35 is 1.</p>

20 <h3>Explore Our Programs</h3>

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

22 <h3>GCF of 18 and 35 Using Prime Factorization</h3>

21 <h3>GCF of 18 and 35 Using Prime Factorization</h3>

23 <p>To find the GCF of 18 and 35 using Prime Factorization Method, follow these steps:</p>

22 <p>To find the GCF of 18 and 35 using Prime Factorization Method, follow these steps:</p>

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

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

25 <p>Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</p>

24 <p>Prime Factors of 18: 18 = 2 x 3 x 3 = 2 x 3²</p>

26 <p>Prime Factors of 35: 35 = 5 x 7</p>

25 <p>Prime Factors of 35: 35 = 5 x 7</p>

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

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

28 <p><strong>Step 3:</strong>The GCF is 1 since there are no common prime factors.</p>

27 <p><strong>Step 3:</strong>The GCF is 1 since there are no common prime factors.</p>

29 <p>The Greatest Common Factor of 18 and 35 is 1.</p>

28 <p>The Greatest Common Factor of 18 and 35 is 1.</p>

30 <h3>GCF of 18 and 35 Using Division Method or Euclidean Algorithm Method</h3>

29 <h3>GCF of 18 and 35 Using Division Method or Euclidean Algorithm Method</h3>

31 <p>Find the GCF of 18 and 35 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

30 <p>Find the GCF of 18 and 35 using the<a>division</a>method or Euclidean Algorithm Method. Follow these steps:</p>

32 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 35 by 18 35 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 35 - (18×1) = 17 The remainder is 17, not zero, so continue the process</p>

31 <p><strong>Step 1:</strong>First, divide the larger number by the smaller number Here, divide 35 by 18 35 ÷ 18 = 1 (<a>quotient</a>), The<a>remainder</a>is calculated as 35 - (18×1) = 17 The remainder is 17, not zero, so continue the process</p>

33 <p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (17) Divide 18 by 17 18 ÷ 17 = 1 (quotient), remainder = 18 - (17×1) = 1 The remainder is 1, not zero, so continue the process</p>

32 <p><strong>Step 2:</strong>Now divide the previous divisor (18) by the previous remainder (17) Divide 18 by 17 18 ÷ 17 = 1 (quotient), remainder = 18 - (17×1) = 1 The remainder is 1, not zero, so continue the process</p>

34 <p><strong>Step 3:</strong>Now divide the previous divisor (17) by the previous remainder (1) 17 ÷ 1 = 17 (quotient), remainder = 17 - (1×17) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 18 and 35 is 1.</p>

33 <p><strong>Step 3:</strong>Now divide the previous divisor (17) by the previous remainder (1) 17 ÷ 1 = 17 (quotient), remainder = 17 - (1×17) = 0 The remainder is zero, the divisor will become the GCF. The GCF of 18 and 35 is 1.</p>

35 <h2>Common Mistakes and How to Avoid Them in GCF of 18 and 35</h2>

34 <h2>Common Mistakes and How to Avoid Them in GCF of 18 and 35</h2>

36 <p>Finding the GCF of 18 and 35 seems simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

35 <p>Finding the GCF of 18 and 35 seems simple, but students often make mistakes while calculating the GCF. Here are some common mistakes to be avoided by the students.</p>

37 <h3>Problem 1</h3>

36 <h3>Problem 1</h3>

38 <p>A farmer has 18 apples and 35 oranges. She wants to pack them into bags with the largest number of equal fruits in each bag. How many fruits will be in each bag?</p>

37 <p>A farmer has 18 apples and 35 oranges. She wants to pack them into bags with the largest number of equal fruits in each bag. How many fruits will be in each bag?</p>

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

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

40 <p>We should find the GCF of 18 and 35.</p>

39 <p>We should find the GCF of 18 and 35.</p>

41 <p>The GCF of 18 and 35 is 1.</p>

40 <p>The GCF of 18 and 35 is 1.</p>

42 <p>There will be 1 fruit in each bag.</p>

41 <p>There will be 1 fruit in each bag.</p>

43 <h3>Explanation</h3>

42 <h3>Explanation</h3>

44 <p>As the GCF of 18 and 35 is 1, the farmer can make bags with 1 fruit each.</p>

43 <p>As the GCF of 18 and 35 is 1, the farmer can make bags with 1 fruit each.</p>

45 <p>Well explained 👍</p>

44 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

45 <h3>Problem 2</h3>

47 <p>A gardener has 18 roses and 35 tulips. She wants to arrange them in bouquets with the same number of flowers in each. What is the largest number of flowers each bouquet can have?</p>

46 <p>A gardener has 18 roses and 35 tulips. She wants to arrange them in bouquets with the same number of flowers in each. What is the largest number of flowers each bouquet can have?</p>

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

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

49 <p>The GCF of 18 and 35 is 1. So each bouquet will have 1 flower.</p>

48 <p>The GCF of 18 and 35 is 1. So each bouquet will have 1 flower.</p>

50 <h3>Explanation</h3>

49 <h3>Explanation</h3>

51 <p>To determine the number of flowers in each bouquet, we find the GCF of 18 and 35, which is 1. Each bouquet will have 1 flower.</p>

50 <p>To determine the number of flowers in each bouquet, we find the GCF of 18 and 35, which is 1. Each bouquet will have 1 flower.</p>

52 <p>Well explained 👍</p>

51 <p>Well explained 👍</p>

53 <h3>Problem 3</h3>

52 <h3>Problem 3</h3>

54 <p>A chef has 18 ounces of beef and 35 ounces of chicken. He wants to divide them into the longest possible equal portions. What should be the weight of each portion?</p>

53 <p>A chef has 18 ounces of beef and 35 ounces of chicken. He wants to divide them into the longest possible equal portions. What should be the weight of each portion?</p>

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

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

56 <p>For calculating the longest equal portion, we have to calculate the GCF of 18 and 35.</p>

55 <p>For calculating the longest equal portion, we have to calculate the GCF of 18 and 35.</p>

57 <p>The GCF of 18 and 35 is 1.</p>

56 <p>The GCF of 18 and 35 is 1.</p>

58 <p>Each portion will weigh 1 ounce.</p>

57 <p>Each portion will weigh 1 ounce.</p>

59 <h3>Explanation</h3>

58 <h3>Explanation</h3>

60 <p>To calculate the longest portion of the meat, first, we need to calculate the GCF of 18 and 35, which is 1. The weight of each portion will be 1 ounce.</p>

59 <p>To calculate the longest portion of the meat, first, we need to calculate the GCF of 18 and 35, which is 1. The weight of each portion will be 1 ounce.</p>

61 <p>Well explained 👍</p>

60 <p>Well explained 👍</p>

62 <h3>Problem 4</h3>

61 <h3>Problem 4</h3>

63 <p>A student has two ribbons, one 18 cm long and the other 35 cm long. He wants to cut them into the longest possible equal pieces, without any ribbon left over. What should be the length of each piece?</p>

62 <p>A student has two ribbons, one 18 cm long and the other 35 cm long. He wants to cut them into the longest possible equal pieces, without any ribbon left over. What should be the length of each piece?</p>

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

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

65 <p>The student needs the longest piece of ribbon.</p>

64 <p>The student needs the longest piece of ribbon.</p>

66 <p>The GCF of 18 and 35 is 1.</p>

65 <p>The GCF of 18 and 35 is 1.</p>

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

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

68 <h3>Explanation</h3>

67 <h3>Explanation</h3>

69 <p>To find the longest length of each piece of the two ribbons, 18 cm and 35 cm, respectively, we have to find the GCF of 18 and 35, which is 1 cm. The longest length of each piece is 1 cm.</p>

68 <p>To find the longest length of each piece of the two ribbons, 18 cm and 35 cm, respectively, we have to find the GCF of 18 and 35, which is 1 cm. The longest length of each piece is 1 cm.</p>

70 <p>Well explained 👍</p>

69 <p>Well explained 👍</p>

71 <h3>Problem 5</h3>

70 <h3>Problem 5</h3>

72 <p>If the GCF of 18 and ‘b’ is 2, and the LCM is 90. Find ‘b’.</p>

71 <p>If the GCF of 18 and ‘b’ is 2, and the LCM is 90. Find ‘b’.</p>

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

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

74 <p>The value of ‘b’ is 10.</p>

73 <p>The value of ‘b’ is 10.</p>

75 <h3>Explanation</h3>

74 <h3>Explanation</h3>

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

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

77 <p>2 × 90 = 18 × b</p>

76 <p>2 × 90 = 18 × b</p>

78 <p>180 = 18b</p>

77 <p>180 = 18b</p>

79 <p>b = 180 ÷ 18 = 10</p>

78 <p>b = 180 ÷ 18 = 10</p>

80 <p>Well explained 👍</p>

79 <p>Well explained 👍</p>

81 <h2>FAQs on the Greatest Common Factor of 18 and 35</h2>

80 <h2>FAQs on the Greatest Common Factor of 18 and 35</h2>

82 <h3>1.What is the LCM of 18 and 35?</h3>

81 <h3>1.What is the LCM of 18 and 35?</h3>

83 <p>The LCM of 18 and 35 is 630.</p>

82 <p>The LCM of 18 and 35 is 630.</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 even number.</p>

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

86 <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>

88 <h3>4.What is the prime factorization of 35?</h3>

87 <h3>4.What is the prime factorization of 35?</h3>

89 <p>The prime factorization of 35 is 5 x 7.</p>

88 <p>The prime factorization of 35 is 5 x 7.</p>

90 <h3>5.Are 18 and 35 prime numbers?</h3>

89 <h3>5.Are 18 and 35 prime numbers?</h3>

91 <p>No, 18 and 35 are not prime numbers because both of them have more than two factors.</p>

90 <p>No, 18 and 35 are not prime numbers because both of them have more than two factors.</p>

92 <h2>Important Glossaries for GCF of 18 and 35</h2>

91 <h2>Important Glossaries for GCF of 18 and 35</h2>

93 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 10 are 1, 2, 5, and 10.</li>

92 <ul><li><strong>Factors:</strong>Factors are numbers that divide the target number completely. For example, the factors of 10 are 1, 2, 5, and 10.</li>

94 </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, and so on.</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 3 are 3, 6, 9, 12, and so on.</li>

95 </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>

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 18 are 2 and 3.</li>

96 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 20 is divided by 6, the remainder is 2 and the quotient is 3.</li>

95 </ul><ul><li><strong>Remainder:</strong>The value left after division when the number cannot be divided evenly. For example, when 20 is divided by 6, the remainder is 2 and the quotient is 3.</li>

97 </ul><ul><li><strong>LCM:</strong>The smallest common multiple of two or more numbers is termed LCM. For example, the LCM of 12 and 15 is 60.</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 12 and 15 is 60.</li>

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

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

99 <p>▶</p>

98 <p>▶</p>

100 <h2>Hiralee Lalitkumar Makwana</h2>

99 <h2>Hiralee Lalitkumar Makwana</h2>

101 <h3>About the Author</h3>

100 <h3>About the Author</h3>

102 <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>

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>

103 <h3>Fun Fact</h3>

102 <h3>Fun Fact</h3>

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

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