What is the Greatest Common Factor of 88092 and 88108?

Greatest common factor (GCF) of 88092 and 88108 is 4.

GCF(88092,88108) = 4

We will now calculate the prime factors of 88092 and 88108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88092 and 88108.

How to find the GCF of 88092 and 88108?

We will first find the prime factorization of 88092 and 88108. After we will calculate the factors of 88092 and 88108 and find the biggest common factor number .

Step-1: Prime Factorization of 88092

Prime factors of 88092 are 2, 3, 2447. Prime factorization of 88092 in exponential form is:

88092 = 2² × 3² × 2447¹

Step-2: Prime Factorization of 88108

Prime factors of 88108 are 2, 22027. Prime factorization of 88108 in exponential form is:

88108 = 2² × 22027¹

Step-3: Factors of 88092

List of positive integer factors of 88092 that divides 88092 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2447, 4894, 7341, 9788, 14682, 22023, 29364, 44046

Step-4: Factors of 88108

List of positive integer factors of 88108 that divides 88092 without a remainder.

1, 2, 4, 22027, 44054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88092 and 88108. The biggest common factor number is the GCF number.
So the greatest common factor 88092 and 88108 is 4.

Also check out the Least Common Multiple of 88092 and 88108