What is the Greatest Common Factor of 88149 and 88164?

Greatest common factor (GCF) of 88149 and 88164 is 3.

GCF(88149,88164) = 3

We will now calculate the prime factors of 88149 and 88164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88149 and 88164.

How to find the GCF of 88149 and 88164?

We will first find the prime factorization of 88149 and 88164. After we will calculate the factors of 88149 and 88164 and find the biggest common factor number .

Step-1: Prime Factorization of 88149

Prime factors of 88149 are 3, 29383. Prime factorization of 88149 in exponential form is:

88149 = 3¹ × 29383¹

Step-2: 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-3: Factors of 88149

List of positive integer factors of 88149 that divides 88149 without a remainder.

1, 3, 29383

Step-4: Factors of 88164

List of positive integer factors of 88164 that divides 88149 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88149 and 88164. The biggest common factor number is the GCF number.
So the greatest common factor 88149 and 88164 is 3.

Also check out the Least Common Multiple of 88149 and 88164