What is the Greatest Common Factor of 79152 and 79158?

Greatest common factor (GCF) of 79152 and 79158 is 6.

GCF(79152,79158) = 6

We will now calculate the prime factors of 79152 and 79158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79152 and 79158.

How to find the GCF of 79152 and 79158?

We will first find the prime factorization of 79152 and 79158. After we will calculate the factors of 79152 and 79158 and find the biggest common factor number .

Step-1: Prime Factorization of 79152

Prime factors of 79152 are 2, 3, 17, 97. Prime factorization of 79152 in exponential form is:

79152 = 2⁴ × 3¹ × 17¹ × 97¹

Step-2: Prime Factorization of 79158

Prime factors of 79158 are 2, 3, 79, 167. Prime factorization of 79158 in exponential form is:

79158 = 2¹ × 3¹ × 79¹ × 167¹

Step-3: Factors of 79152

List of positive integer factors of 79152 that divides 79152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 97, 102, 136, 194, 204, 272, 291, 388, 408, 582, 776, 816, 1164, 1552, 1649, 2328, 3298, 4656, 4947, 6596, 9894, 13192, 19788, 26384, 39576

Step-4: Factors of 79158

List of positive integer factors of 79158 that divides 79152 without a remainder.

1, 2, 3, 6, 79, 158, 167, 237, 334, 474, 501, 1002, 13193, 26386, 39579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79152 and 79158. The biggest common factor number is the GCF number.
So the greatest common factor 79152 and 79158 is 6.

Also check out the Least Common Multiple of 79152 and 79158