What is the Greatest Common Factor of 88652 and 88672?

Greatest common factor (GCF) of 88652 and 88672 is 4.

GCF(88652,88672) = 4

We will now calculate the prime factors of 88652 and 88672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88652 and 88672.

How to find the GCF of 88652 and 88672?

We will first find the prime factorization of 88652 and 88672. After we will calculate the factors of 88652 and 88672 and find the biggest common factor number .

Step-1: Prime Factorization of 88652

Prime factors of 88652 are 2, 37, 599. Prime factorization of 88652 in exponential form is:

88652 = 2² × 37¹ × 599¹

Step-2: Prime Factorization of 88672

Prime factors of 88672 are 2, 17, 163. Prime factorization of 88672 in exponential form is:

88672 = 2⁵ × 17¹ × 163¹

Step-3: Factors of 88652

List of positive integer factors of 88652 that divides 88652 without a remainder.

1, 2, 4, 37, 74, 148, 599, 1198, 2396, 22163, 44326

Step-4: Factors of 88672

List of positive integer factors of 88672 that divides 88652 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 163, 272, 326, 544, 652, 1304, 2608, 2771, 5216, 5542, 11084, 22168, 44336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88652 and 88672. The biggest common factor number is the GCF number.
So the greatest common factor 88652 and 88672 is 4.

Also check out the Least Common Multiple of 88652 and 88672