GCF of 54 and 72

What is the GCF of 54 and 72?

GCF of 54 and 72

is 18

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

What is the Greatest Common Factor of 54 and 72? 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 54 and 72 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 54.
    2, 3, 3, 3
  2. Find the prime factors of the second number 72.
    2, 2, 2, 3, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    18

Factors Method:

  1. Find the factors of the first number 54.
    1, 2, 3, 6, 9, 18, 27, 54
  2. Find the factors of the second number 72.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  3. The biggest common factor number is the GCF value. Which is,
    18

GCF (Greatest Common Factor) of 54 and 72 is 18.

GCD (Greatest Common Divisor) of 54 and 72 is 18.

HCF (Highest Common Factor) of 54 and 72 is 18.

Number GCF LCM
54 & 67 1 3618
54 & 68 2 1836
54 & 69 3 1242
54 & 70 2 1890
54 & 71 1 3834
54 & 72 18 216
54 & 73 1 3942
54 & 74 2 1998
54 & 75 3 1350
54 & 76 2 2052
54 & 77 1 4158
Calculations