What is the Greatest Common Factor of 79365 and 79376?

Greatest common factor (GCF) of 79365 and 79376 is 11.

GCF(79365,79376) = 11

We will now calculate the prime factors of 79365 and 79376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79365 and 79376.

How to find the GCF of 79365 and 79376?

We will first find the prime factorization of 79365 and 79376. After we will calculate the factors of 79365 and 79376 and find the biggest common factor number .

Step-1: Prime Factorization of 79365

Prime factors of 79365 are 3, 5, 11, 13, 37. Prime factorization of 79365 in exponential form is:

79365 = 3¹ × 5¹ × 11¹ × 13¹ × 37¹

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 79365

List of positive integer factors of 79365 that divides 79365 without a remainder.

1, 3, 5, 11, 13, 15, 33, 37, 39, 55, 65, 111, 143, 165, 185, 195, 407, 429, 481, 555, 715, 1221, 1443, 2035, 2145, 2405, 5291, 6105, 7215, 15873, 26455

Step-4: Factors of 79376

List of positive integer factors of 79376 that divides 79365 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 79365 and 79376. The biggest common factor number is the GCF number.
So the greatest common factor 79365 and 79376 is 11.

Also check out the Least Common Multiple of 79365 and 79376