What is the Greatest Common Factor of 77172 and 77179?

Greatest common factor (GCF) of 77172 and 77179 is 1.

GCF(77172,77179) = 1

We will now calculate the prime factors of 77172 and 77179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77172 and 77179.

How to find the GCF of 77172 and 77179?

We will first find the prime factorization of 77172 and 77179. After we will calculate the factors of 77172 and 77179 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77179

Prime factors of 77179 are 113, 683. Prime factorization of 77179 in exponential form is:

77179 = 113¹ × 683¹

Step-3: Factors of 77172

List of positive integer factors of 77172 that divides 77172 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

Step-4: Factors of 77179

List of positive integer factors of 77179 that divides 77172 without a remainder.

1, 113, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77172 and 77179. The biggest common factor number is the GCF number.
So the greatest common factor 77172 and 77179 is 1.

Also check out the Least Common Multiple of 77172 and 77179