What is the Greatest Common Factor of 88 and 100?

Greatest common factor (GCF) of 88 and 100 is 4.

GCF(88,100) = 4

We will now calculate the prime factors of 88 and 100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88 and 100.

How to find the GCF of 88 and 100?

We will first find the prime factorization of 88 and 100. After we will calculate the factors of 88 and 100 and find the biggest common factor number .

Step-1: Prime Factorization of 88

Prime factors of 88 are 2, 11. Prime factorization of 88 in exponential form is:

88 = 2³ × 11¹

Step-2: Prime Factorization of 100

Prime factors of 100 are 2, 5. Prime factorization of 100 in exponential form is:

100 = 2² × 5²

Step-3: Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44

Step-4: Factors of 100

List of positive integer factors of 100 that divides 88 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88 and 100. The biggest common factor number is the GCF number.
So the greatest common factor 88 and 100 is 4.

Also check out the Least Common Multiple of 88 and 100