What is the Greatest Common Factor of 88628 and 88636?

Greatest common factor (GCF) of 88628 and 88636 is 4.

GCF(88628,88636) = 4

We will now calculate the prime factors of 88628 and 88636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88628 and 88636.

How to find the GCF of 88628 and 88636?

We will first find the prime factorization of 88628 and 88636. After we will calculate the factors of 88628 and 88636 and find the biggest common factor number .

Step-1: Prime Factorization of 88628

Prime factors of 88628 are 2, 22157. Prime factorization of 88628 in exponential form is:

88628 = 2² × 22157¹

Step-2: Prime Factorization of 88636

Prime factors of 88636 are 2, 22159. Prime factorization of 88636 in exponential form is:

88636 = 2² × 22159¹

Step-3: Factors of 88628

List of positive integer factors of 88628 that divides 88628 without a remainder.

1, 2, 4, 22157, 44314

Step-4: Factors of 88636

List of positive integer factors of 88636 that divides 88628 without a remainder.

1, 2, 4, 22159, 44318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88628 and 88636. The biggest common factor number is the GCF number.
So the greatest common factor 88628 and 88636 is 4.

Also check out the Least Common Multiple of 88628 and 88636