What is the Greatest Common Factor of 88672 and 88677?

Greatest common factor (GCF) of 88672 and 88677 is 1.

GCF(88672,88677) = 1

We will now calculate the prime factors of 88672 and 88677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88672 and 88677.

How to find the GCF of 88672 and 88677?

We will first find the prime factorization of 88672 and 88677. After we will calculate the factors of 88672 and 88677 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88677

Prime factors of 88677 are 3, 59, 167. Prime factorization of 88677 in exponential form is:

88677 = 3² × 59¹ × 167¹

Step-3: Factors of 88672

List of positive integer factors of 88672 that divides 88672 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

Step-4: Factors of 88677

List of positive integer factors of 88677 that divides 88672 without a remainder.

1, 3, 9, 59, 167, 177, 501, 531, 1503, 9853, 29559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88672 and 88677. The biggest common factor number is the GCF number.
So the greatest common factor 88672 and 88677 is 1.

Also check out the Least Common Multiple of 88672 and 88677