What is the Greatest Common Factor of 79464 and 79476?

Greatest common factor (GCF) of 79464 and 79476 is 12.

GCF(79464,79476) = 12

We will now calculate the prime factors of 79464 and 79476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79476.

How to find the GCF of 79464 and 79476?

We will first find the prime factorization of 79464 and 79476. After we will calculate the factors of 79464 and 79476 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 79476

Prime factors of 79476 are 2, 3, 37, 179. Prime factorization of 79476 in exponential form is:

79476 = 2² × 3¹ × 37¹ × 179¹

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 79476

List of positive integer factors of 79476 that divides 79464 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 179, 222, 358, 444, 537, 716, 1074, 2148, 6623, 13246, 19869, 26492, 39738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79476. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79476 is 12.

Also check out the Least Common Multiple of 79464 and 79476