What is the Greatest Common Factor of 79456 and 79464?

Greatest common factor (GCF) of 79456 and 79464 is 8.

GCF(79456,79464) = 8

We will now calculate the prime factors of 79456 and 79464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79456 and 79464.

How to find the GCF of 79456 and 79464?

We will first find the prime factorization of 79456 and 79464. After we will calculate the factors of 79456 and 79464 and find the biggest common factor number .

Step-1: Prime Factorization of 79456

Prime factors of 79456 are 2, 13, 191. Prime factorization of 79456 in exponential form is:

79456 = 2⁵ × 13¹ × 191¹

Step-2: 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-3: Factors of 79456

List of positive integer factors of 79456 that divides 79456 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 191, 208, 382, 416, 764, 1528, 2483, 3056, 4966, 6112, 9932, 19864, 39728

Step-4: Factors of 79464

List of positive integer factors of 79464 that divides 79456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79456 and 79464. The biggest common factor number is the GCF number.
So the greatest common factor 79456 and 79464 is 8.

Also check out the Least Common Multiple of 79456 and 79464