GCF of 88 and 100

What is the GCF of 88 and 100?

GCF of 88 and 100

is 4

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

What is the Greatest Common Factor of 88 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 88 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 88.
    2, 2, 2, 11
  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 88.
    1, 2, 4, 8, 11, 22, 44, 88
  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
88 & 95 1 8360
88 & 96 8 1056
88 & 97 1 8536
88 & 98 2 4312
88 & 99 11 792
88 & 100 4 2200
88 & 101 1 8888
88 & 102 2 4488
88 & 103 1 9064
88 & 104 8 1144
88 & 105 1 9240

GCF (Greatest Common Factor) of 88 and 100 is 4.

GCD (Greatest Common Divisor) of 88 and 100 is 4.

HCF (Highest Common Factor) of 88 and 100 is 4.
Calculations