What is the Greatest Common Factor of 79464 and 79480?

Greatest common factor (GCF) of 79464 and 79480 is 8.

GCF(79464,79480) = 8

We will now calculate the prime factors of 79464 and 79480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79480.

How to find the GCF of 79464 and 79480?

We will first find the prime factorization of 79464 and 79480. After we will calculate the factors of 79464 and 79480 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 79480

Prime factors of 79480 are 2, 5, 1987. Prime factorization of 79480 in exponential form is:

79480 = 2³ × 5¹ × 1987¹

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 79480

List of positive integer factors of 79480 that divides 79464 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1987, 3974, 7948, 9935, 15896, 19870, 39740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79480. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79480 is 8.

Also check out the Least Common Multiple of 79464 and 79480