What is the Greatest Common Factor of 88744 and 88752?

Greatest common factor (GCF) of 88744 and 88752 is 8.

GCF(88744,88752) = 8

We will now calculate the prime factors of 88744 and 88752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88744 and 88752.

How to find the GCF of 88744 and 88752?

We will first find the prime factorization of 88744 and 88752. After we will calculate the factors of 88744 and 88752 and find the biggest common factor number .

Step-1: Prime Factorization of 88744

Prime factors of 88744 are 2, 11093. Prime factorization of 88744 in exponential form is:

88744 = 2³ × 11093¹

Step-2: Prime Factorization of 88752

Prime factors of 88752 are 2, 3, 43. Prime factorization of 88752 in exponential form is:

88752 = 2⁴ × 3¹ × 43²

Step-3: Factors of 88744

List of positive integer factors of 88744 that divides 88744 without a remainder.

1, 2, 4, 8, 11093, 22186, 44372

Step-4: Factors of 88752

List of positive integer factors of 88752 that divides 88744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 1849, 2064, 3698, 5547, 7396, 11094, 14792, 22188, 29584, 44376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88744 and 88752. The biggest common factor number is the GCF number.
So the greatest common factor 88744 and 88752 is 8.

Also check out the Least Common Multiple of 88744 and 88752