What is the Greatest Common Factor of 88752 and 88766?

Greatest common factor (GCF) of 88752 and 88766 is 2.

GCF(88752,88766) = 2

We will now calculate the prime factors of 88752 and 88766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88752 and 88766.

How to find the GCF of 88752 and 88766?

We will first find the prime factorization of 88752 and 88766. After we will calculate the factors of 88752 and 88766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88766

Prime factors of 88766 are 2, 44383. Prime factorization of 88766 in exponential form is:

88766 = 2¹ × 44383¹

Step-3: Factors of 88752

List of positive integer factors of 88752 that divides 88752 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

Step-4: Factors of 88766

List of positive integer factors of 88766 that divides 88752 without a remainder.

1, 2, 44383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88752 and 88766. The biggest common factor number is the GCF number.
So the greatest common factor 88752 and 88766 is 2.

Also check out the Least Common Multiple of 88752 and 88766