what is the greatest common factor of 45 and 60

The GCF of 45 and 60 The GCF of 45 and 60 is the largest number that can be divided by 45 and 60 exactly without remainder. The coefficients of 45 and 60 are 1, 3, 5, 9, 15, 45 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, respectively. There are 3 methods. commonly used to find GCF of 45 and 60 – Euclidean algorithm, long division and prime factorization. 1. GCF of 45 and 60 2. List of methods 3. Solved examples 4. FAQAnswer: The GCF of 45 and 60 is 15. Read: what is the greatest common factor of 45 and 60 Explanation: Further reading: What does Imy mean in GCF text of two integers other than 0, x(45) and y(60), which is the largest positive integer m(15) that divides both x(45) and y(60) without any Rest The methods to find the GCF of 45 and 60 are explained below.

  • Long division method
  • The prime factorization method
  • List common factors

GCF of 45 and 60 by Long Division

GCF of 45 and 60 by Long DivisionThe GCF of 45 and 60 is the divisor we get when the remainder becomes 0 after doing many long divisions.

  • Step 1: Divide 60 (larger number) by 45 (smaller number).
  • Step 2: Since the remainder is ≠ 0, we will divide the divisor of step 1 (45) by the remainder (15).
  • Step 3: Repeat this process until remainder = 0.

Read more: What does cactus taste like The corresponding divisor (15) is the GCF of 45 and 60.

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GCF is 45 and 60 on prime factor basis

GCF is 45 and 60 on prime factor basisThe prime factors of 45 and 60 are (3 × 3 × 5) and (2 × 2 × 3 × 5, respectively). As can be seen, 45 and 60 share the same prime factors. Therefore, the GCF of 45 and 60 is 3 × 5 = 15.

GCF of 45 and 60 according to List of Common Factors

GCF of 45 and 60 according to List of Common Factors

  • Factor 45: 1, 3, 5, 9, 15, 45
  • Factor 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

There are 4 common factors of 45 and 60, namely 1, 3, 5 and 15. Therefore, the greatest common factor of 45 and 60 is 15.☛ Also check:Read more: What the stars look like

  • GCF is 48 and 56 = 8
  • GCF of 22 and 44 = 22
  • GCF of 44 and 66 = 22
  • GCF of 26 and 91 = 13
  • GCF of 12 and 27 = 3
  • GCF is 60 and 90 = 30
  • GCF of 30 and 60 = 30

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