What is the Greatest Common Factor of 88164 and 88172?

Greatest common factor (GCF) of 88164 and 88172 is 4.

GCF(88164,88172) = 4

We will now calculate the prime factors of 88164 and 88172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88164 and 88172.

How to find the GCF of 88164 and 88172?

We will first find the prime factorization of 88164 and 88172. After we will calculate the factors of 88164 and 88172 and find the biggest common factor number .

Step-1: Prime Factorization of 88164

Prime factors of 88164 are 2, 3, 31, 79. Prime factorization of 88164 in exponential form is:

88164 = 2² × 3² × 31¹ × 79¹

Step-2: 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-3: Factors of 88164

List of positive integer factors of 88164 that divides 88164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 79, 93, 124, 158, 186, 237, 279, 316, 372, 474, 558, 711, 948, 1116, 1422, 2449, 2844, 4898, 7347, 9796, 14694, 22041, 29388, 44082

Step-4: Factors of 88172

List of positive integer factors of 88172 that divides 88164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88164 and 88172. The biggest common factor number is the GCF number.
So the greatest common factor 88164 and 88172 is 4.

Also check out the Least Common Multiple of 88164 and 88172