What is the Greatest Common Factor of 79464 and 79468?

Greatest common factor (GCF) of 79464 and 79468 is 4.

GCF(79464,79468) = 4

We will now calculate the prime factors of 79464 and 79468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79468.

How to find the GCF of 79464 and 79468?

We will first find the prime factorization of 79464 and 79468. After we will calculate the factors of 79464 and 79468 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 79468

Prime factors of 79468 are 2, 19867. Prime factorization of 79468 in exponential form is:

79468 = 2² × 19867¹

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 79468

List of positive integer factors of 79468 that divides 79464 without a remainder.

1, 2, 4, 19867, 39734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79468. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79468 is 4.

Also check out the Least Common Multiple of 79464 and 79468