What is the Greatest Common Factor of 88172 and 88188?

Greatest common factor (GCF) of 88172 and 88188 is 4.

GCF(88172,88188) = 4

We will now calculate the prime factors of 88172 and 88188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88172 and 88188.

How to find the GCF of 88172 and 88188?

We will first find the prime factorization of 88172 and 88188. After we will calculate the factors of 88172 and 88188 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 88188

Prime factors of 88188 are 2, 3, 7349. Prime factorization of 88188 in exponential form is:

88188 = 2² × 3¹ × 7349¹

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 88188

List of positive integer factors of 88188 that divides 88172 without a remainder.

1, 2, 3, 4, 6, 12, 7349, 14698, 22047, 29396, 44094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88172 and 88188. The biggest common factor number is the GCF number.
So the greatest common factor 88172 and 88188 is 4.

Also check out the Least Common Multiple of 88172 and 88188