What is the Greatest Common Factor of 79376 and 79384?

Greatest common factor (GCF) of 79376 and 79384 is 8.

GCF(79376,79384) = 8

We will now calculate the prime factors of 79376 and 79384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79376 and 79384.

How to find the GCF of 79376 and 79384?

We will first find the prime factorization of 79376 and 79384. After we will calculate the factors of 79376 and 79384 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 79384

Prime factors of 79384 are 2, 9923. Prime factorization of 79384 in exponential form is:

79384 = 2³ × 9923¹

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 79384

List of positive integer factors of 79384 that divides 79376 without a remainder.

1, 2, 4, 8, 9923, 19846, 39692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79376 and 79384. The biggest common factor number is the GCF number.
So the greatest common factor 79376 and 79384 is 8.

Also check out the Least Common Multiple of 79376 and 79384