What is the Greatest Common Factor of 79484 and 79488?

Greatest common factor (GCF) of 79484 and 79488 is 4.

GCF(79484,79488) = 4

We will now calculate the prime factors of 79484 and 79488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79484 and 79488.

How to find the GCF of 79484 and 79488?

We will first find the prime factorization of 79484 and 79488. After we will calculate the factors of 79484 and 79488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79488

Prime factors of 79488 are 2, 3, 23. Prime factorization of 79488 in exponential form is:

79488 = 2⁷ × 3³ × 23¹

Step-3: Factors of 79484

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

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

Step-4: Factors of 79488

List of positive integer factors of 79488 that divides 79484 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 32, 36, 46, 48, 54, 64, 69, 72, 92, 96, 108, 128, 138, 144, 184, 192, 207, 216, 276, 288, 368, 384, 414, 432, 552, 576, 621, 736, 828, 864, 1104, 1152, 1242, 1472, 1656, 1728, 2208, 2484, 2944, 3312, 3456, 4416, 4968, 6624, 8832, 9936, 13248, 19872, 26496, 39744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79484 and 79488. The biggest common factor number is the GCF number.
So the greatest common factor 79484 and 79488 is 4.

Also check out the Least Common Multiple of 79484 and 79488