GCF of 15 and 60

What is the GCF of 15 and 60?

GCF of 15 and 60

is 15

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Greatest Common Factor

What is the Greatest Common Factor of 15 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 15 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 15.
    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 15.
    1, 3, 5, 15
  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
15 & 55 5 165
15 & 56 1 840
15 & 57 3 285
15 & 58 1 870
15 & 59 1 885
15 & 60 15 60
15 & 61 1 915
15 & 62 1 930
15 & 63 3 315
15 & 64 1 960
15 & 65 5 195

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

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

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