What is the Greatest Common Factor of 88172 and 88187?

Greatest common factor (GCF) of 88172 and 88187 is 1.

GCF(88172,88187) = 1

We will now calculate the prime factors of 88172 and 88187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88172 and 88187.

How to find the GCF of 88172 and 88187?

We will first find the prime factorization of 88172 and 88187. After we will calculate the factors of 88172 and 88187 and find the biggest common factor number .

Step-1: Prime Factorization of 88172

Prime factors of 88172 are 2, 7, 47, 67. Prime factorization of 88172 in exponential form is:

88172 = 2² × 7¹ × 47¹ × 67¹

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 88172

List of positive integer factors of 88172 that divides 88172 without a remainder.

1, 2, 4, 7, 14, 28, 47, 67, 94, 134, 188, 268, 329, 469, 658, 938, 1316, 1876, 3149, 6298, 12596, 22043, 44086

Step-4: Factors of 88187

List of positive integer factors of 88187 that divides 88172 without a remainder.

1, 11, 8017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88172 and 88187. The biggest common factor number is the GCF number.
So the greatest common factor 88172 and 88187 is 1.

Also check out the Least Common Multiple of 88172 and 88187