GCF of 45 and 60

What is the GCF of 45 and 60?

GCF of 45 and 60

is 15

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Greatest Common Factor

What is the Greatest Common Factor of 45 and 60? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 45 and 60 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 45.
    3, 3, 5
  2. Find the prime factors of the second number 60.
    2, 2, 3, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    15

Factors Method:

  1. Find the factors of the first number 45.
    1, 3, 5, 9, 15, 45
  2. Find the factors of the second number 60.
    1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
  3. The biggest common factor number is the GCF value. Which is,
    15

Number GCF LCM
45 & 55 5 495
45 & 56 1 2520
45 & 57 3 855
45 & 58 1 2610
45 & 59 1 2655
45 & 60 15 180
45 & 61 1 2745
45 & 62 1 2790
45 & 63 9 315
45 & 64 1 2880
45 & 65 5 585

GCF (Greatest Common Factor) of 45 and 60 is 15.

GCD (Greatest Common Divisor) of 45 and 60 is 15.

HCF (Highest Common Factor) of 45 and 60 is 15.
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