What is the Greatest Common Factor of 88652 and 88656?

Greatest common factor (GCF) of 88652 and 88656 is 4.

GCF(88652,88656) = 4

We will now calculate the prime factors of 88652 and 88656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88652 and 88656.

How to find the GCF of 88652 and 88656?

We will first find the prime factorization of 88652 and 88656. After we will calculate the factors of 88652 and 88656 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 88656

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

88656 = 2⁴ × 3¹ × 1847¹

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 88656

List of positive integer factors of 88656 that divides 88652 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88652 and 88656. The biggest common factor number is the GCF number.
So the greatest common factor 88652 and 88656 is 4.

Also check out the Least Common Multiple of 88652 and 88656