What is the Greatest Common Factor of 79464 and 79484?

Greatest common factor (GCF) of 79464 and 79484 is 4.

GCF(79464,79484) = 4

We will now calculate the prime factors of 79464 and 79484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79484.

How to find the GCF of 79464 and 79484?

We will first find the prime factorization of 79464 and 79484. After we will calculate the factors of 79464 and 79484 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 79484

Prime factors of 79484 are 2, 31, 641. Prime factorization of 79484 in exponential form is:

79484 = 2² × 31¹ × 641¹

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 79484

List of positive integer factors of 79484 that divides 79464 without a remainder.

1, 2, 4, 31, 62, 124, 641, 1282, 2564, 19871, 39742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79484. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79484 is 4.

Also check out the Least Common Multiple of 79464 and 79484