What is the Greatest Common Factor of 77164 and 77172?

Greatest common factor (GCF) of 77164 and 77172 is 4.

GCF(77164,77172) = 4

We will now calculate the prime factors of 77164 and 77172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77164 and 77172.

How to find the GCF of 77164 and 77172?

We will first find the prime factorization of 77164 and 77172. After we will calculate the factors of 77164 and 77172 and find the biggest common factor number .

Step-1: Prime Factorization of 77164

Prime factors of 77164 are 2, 101, 191. Prime factorization of 77164 in exponential form is:

77164 = 2² × 101¹ × 191¹

Step-2: Prime Factorization of 77172

Prime factors of 77172 are 2, 3, 59, 109. Prime factorization of 77172 in exponential form is:

77172 = 2² × 3¹ × 59¹ × 109¹

Step-3: Factors of 77164

List of positive integer factors of 77164 that divides 77164 without a remainder.

1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582

Step-4: Factors of 77172

List of positive integer factors of 77172 that divides 77164 without a remainder.

1, 2, 3, 4, 6, 12, 59, 109, 118, 177, 218, 236, 327, 354, 436, 654, 708, 1308, 6431, 12862, 19293, 25724, 38586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77164 and 77172. The biggest common factor number is the GCF number.
So the greatest common factor 77164 and 77172 is 4.

Also check out the Least Common Multiple of 77164 and 77172