What is the Greatest Common Factor of 79464 and 79475?

Greatest common factor (GCF) of 79464 and 79475 is 11.

GCF(79464,79475) = 11

We will now calculate the prime factors of 79464 and 79475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79475.

How to find the GCF of 79464 and 79475?

We will first find the prime factorization of 79464 and 79475. After we will calculate the factors of 79464 and 79475 and find the biggest common factor number .

Step-1: Prime Factorization of 79464

Prime factors of 79464 are 2, 3, 7, 11, 43. Prime factorization of 79464 in exponential form is:

79464 = 2³ × 3¹ × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 79475

Prime factors of 79475 are 5, 11, 17. Prime factorization of 79475 in exponential form is:

79475 = 5² × 11¹ × 17²

Step-3: Factors of 79464

List of positive integer factors of 79464 that divides 79464 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 43, 44, 56, 66, 77, 84, 86, 88, 129, 132, 154, 168, 172, 231, 258, 264, 301, 308, 344, 462, 473, 516, 602, 616, 903, 924, 946, 1032, 1204, 1419, 1806, 1848, 1892, 2408, 2838, 3311, 3612, 3784, 5676, 6622, 7224, 9933, 11352, 13244, 19866, 26488, 39732

Step-4: Factors of 79475

List of positive integer factors of 79475 that divides 79464 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 289, 425, 935, 1445, 3179, 4675, 7225, 15895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79475. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79475 is 11.

Also check out the Least Common Multiple of 79464 and 79475