# GCF of 72 and 100

## What is the GCF of 72 and 100?

### is 4

##### Reference This Calculation:

What is the Greatest Common Factor of 72 and 100? 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 72 and 100 using those formula above, step by step instructions are given below

Prime Factorization Method:

1. Find the prime factors of the first number 72.
2, 2, 2, 3, 3
2. Find the prime factors of the second number 100.
2, 2, 5, 5
3. Multiply of all the common prime factors is the GCF value. Which is,
4

Factors Method:

1. Find the factors of the first number 72.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
2. Find the factors of the second number 100.
1, 2, 4, 5, 10, 20, 25, 50, 100
3. The biggest common factor number is the GCF value. Which is,
4
Number GCF LCM
72 & 95 1 6840
72 & 96 24 288
72 & 97 1 6984
72 & 98 2 3528
72 & 99 9 792
72 & 100 4 1800
72 & 101 1 7272
72 & 102 6 1224
72 & 103 1 7416
72 & 104 8 936
72 & 105 3 2520
GCF (Greatest Common Factor) of 72 and 100 is 4.
GCD (Greatest Common Divisor) of 72 and 100 is 4.
HCF (Highest Common Factor) of 72 and 100 is 4.
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