What is the Greatest Common Factor of 88610 and 88628?

Greatest common factor (GCF) of 88610 and 88628 is 2.

GCF(88610,88628) = 2

We will now calculate the prime factors of 88610 and 88628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88610 and 88628.

How to find the GCF of 88610 and 88628?

We will first find the prime factorization of 88610 and 88628. After we will calculate the factors of 88610 and 88628 and find the biggest common factor number .

Step-1: Prime Factorization of 88610

Prime factors of 88610 are 2, 5, 8861. Prime factorization of 88610 in exponential form is:

88610 = 2¹ × 5¹ × 8861¹

Step-2: Prime Factorization of 88628

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

88628 = 2² × 22157¹

Step-3: Factors of 88610

List of positive integer factors of 88610 that divides 88610 without a remainder.

1, 2, 5, 10, 8861, 17722, 44305

Step-4: Factors of 88628

List of positive integer factors of 88628 that divides 88610 without a remainder.

1, 2, 4, 22157, 44314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88610 and 88628. The biggest common factor number is the GCF number.
So the greatest common factor 88610 and 88628 is 2.

Also check out the Least Common Multiple of 88610 and 88628