What is the Greatest Common Factor of 88656 and 88674?

Greatest common factor (GCF) of 88656 and 88674 is 6.

GCF(88656,88674) = 6

We will now calculate the prime factors of 88656 and 88674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88656 and 88674.

How to find the GCF of 88656 and 88674?

We will first find the prime factorization of 88656 and 88674. After we will calculate the factors of 88656 and 88674 and find the biggest common factor number .

Step-1: Prime Factorization of 88656

Prime factors of 88656 are 2, 3, 1847. Prime factorization of 88656 in exponential form is:

88656 = 2⁴ × 3¹ × 1847¹

Step-2: Prime Factorization of 88674

Prime factors of 88674 are 2, 3, 14779. Prime factorization of 88674 in exponential form is:

88674 = 2¹ × 3¹ × 14779¹

Step-3: Factors of 88656

List of positive integer factors of 88656 that divides 88656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1847, 3694, 5541, 7388, 11082, 14776, 22164, 29552, 44328

Step-4: Factors of 88674

List of positive integer factors of 88674 that divides 88656 without a remainder.

1, 2, 3, 6, 14779, 29558, 44337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88656 and 88674. The biggest common factor number is the GCF number.
So the greatest common factor 88656 and 88674 is 6.

Also check out the Least Common Multiple of 88656 and 88674