GCF of 56 and 21

What is the GCF of 56 and 21?

GCF of 56 and 21

is 7

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 56 and 21? 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 56 and 21 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 56.
    2, 2, 2, 7
  2. Find the prime factors of the second number 21.
    3, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    7

Factors Method:

  1. Find the factors of the first number 56.
    1, 2, 4, 7, 8, 14, 28, 56
  2. Find the factors of the second number 21.
    1, 3, 7, 21
  3. The biggest common factor number is the GCF value. Which is,
    7

Number GCF LCM
56 & 16 8 112
56 & 17 1 952
56 & 18 2 504
56 & 19 1 1064
56 & 20 4 280
56 & 21 7 168
56 & 22 2 616
56 & 23 1 1288
56 & 24 8 168
56 & 25 1 1400
56 & 26 2 728

GCF (Greatest Common Factor) of 56 and 21 is 7.

GCD (Greatest Common Divisor) of 56 and 21 is 7.

HCF (Highest Common Factor) of 56 and 21 is 7.
Calculations