What is the Greatest Common Factor of 88176 and 88187?

Greatest common factor (GCF) of 88176 and 88187 is 11.

GCF(88176,88187) = 11

We will now calculate the prime factors of 88176 and 88187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88176 and 88187.

How to find the GCF of 88176 and 88187?

We will first find the prime factorization of 88176 and 88187. After we will calculate the factors of 88176 and 88187 and find the biggest common factor number .

Step-1: Prime Factorization of 88176

Prime factors of 88176 are 2, 3, 11, 167. Prime factorization of 88176 in exponential form is:

88176 = 2⁴ × 3¹ × 11¹ × 167¹

Step-2: Prime Factorization of 88187

Prime factors of 88187 are 11, 8017. Prime factorization of 88187 in exponential form is:

88187 = 11¹ × 8017¹

Step-3: Factors of 88176

List of positive integer factors of 88176 that divides 88176 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 167, 176, 264, 334, 501, 528, 668, 1002, 1336, 1837, 2004, 2672, 3674, 4008, 5511, 7348, 8016, 11022, 14696, 22044, 29392, 44088

Step-4: Factors of 88187

List of positive integer factors of 88187 that divides 88176 without a remainder.

1, 11, 8017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88176 and 88187. The biggest common factor number is the GCF number.
So the greatest common factor 88176 and 88187 is 11.

Also check out the Least Common Multiple of 88176 and 88187