What is the Greatest Common Factor of 88628 and 88644?

Greatest common factor (GCF) of 88628 and 88644 is 4.

GCF(88628,88644) = 4

We will now calculate the prime factors of 88628 and 88644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88628 and 88644.

How to find the GCF of 88628 and 88644?

We will first find the prime factorization of 88628 and 88644. After we will calculate the factors of 88628 and 88644 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 88644

Prime factors of 88644 are 2, 3, 83, 89. Prime factorization of 88644 in exponential form is:

88644 = 2² × 3¹ × 83¹ × 89¹

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 88644

List of positive integer factors of 88644 that divides 88628 without a remainder.

1, 2, 3, 4, 6, 12, 83, 89, 166, 178, 249, 267, 332, 356, 498, 534, 996, 1068, 7387, 14774, 22161, 29548, 44322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88628 and 88644. The biggest common factor number is the GCF number.
So the greatest common factor 88628 and 88644 is 4.

Also check out the Least Common Multiple of 88628 and 88644