What is the Greatest Common Factor of 79360 and 79376?

Greatest common factor (GCF) of 79360 and 79376 is 16.

GCF(79360,79376) = 16

We will now calculate the prime factors of 79360 and 79376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79376.

How to find the GCF of 79360 and 79376?

We will first find the prime factorization of 79360 and 79376. After we will calculate the factors of 79360 and 79376 and find the biggest common factor number .

Step-1: Prime Factorization of 79360

Prime factors of 79360 are 2, 5, 31. Prime factorization of 79360 in exponential form is:

79360 = 2⁹ × 5¹ × 31¹

Step-2: 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-3: Factors of 79360

List of positive integer factors of 79360 that divides 79360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 512, 620, 640, 992, 1240, 1280, 1984, 2480, 2560, 3968, 4960, 7936, 9920, 15872, 19840, 39680

Step-4: Factors of 79376

List of positive integer factors of 79376 that divides 79360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79376. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79376 is 16.

Also check out the Least Common Multiple of 79360 and 79376