What is the Greatest Common Factor of 79376 and 79396?

Greatest common factor (GCF) of 79376 and 79396 is 4.

GCF(79376,79396) = 4

We will now calculate the prime factors of 79376 and 79396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79376 and 79396.

How to find the GCF of 79376 and 79396?

We will first find the prime factorization of 79376 and 79396. After we will calculate the factors of 79376 and 79396 and find the biggest common factor number .

Step-1: Prime Factorization of 79376

Prime factors of 79376 are 2, 11, 41. Prime factorization of 79376 in exponential form is:

79376 = 2⁴ × 11² × 41¹

Step-2: Prime Factorization of 79396

Prime factors of 79396 are 2, 23, 863. Prime factorization of 79396 in exponential form is:

79396 = 2² × 23¹ × 863¹

Step-3: Factors of 79376

List of positive integer factors of 79376 that divides 79376 without a remainder.

1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 121, 164, 176, 242, 328, 451, 484, 656, 902, 968, 1804, 1936, 3608, 4961, 7216, 9922, 19844, 39688

Step-4: Factors of 79396

List of positive integer factors of 79396 that divides 79376 without a remainder.

1, 2, 4, 23, 46, 92, 863, 1726, 3452, 19849, 39698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79376 and 79396. The biggest common factor number is the GCF number.
So the greatest common factor 79376 and 79396 is 4.

Also check out the Least Common Multiple of 79376 and 79396