What is the Greatest Common Factor of 79464 and 79478?

Greatest common factor (GCF) of 79464 and 79478 is 14.

GCF(79464,79478) = 14

We will now calculate the prime factors of 79464 and 79478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79478.

How to find the GCF of 79464 and 79478?

We will first find the prime factorization of 79464 and 79478. After we will calculate the factors of 79464 and 79478 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 79478

Prime factors of 79478 are 2, 7, 811. Prime factorization of 79478 in exponential form is:

79478 = 2¹ × 7² × 811¹

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 79478

List of positive integer factors of 79478 that divides 79464 without a remainder.

1, 2, 7, 14, 49, 98, 811, 1622, 5677, 11354, 39739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79478. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79478 is 14.

Also check out the Least Common Multiple of 79464 and 79478