What is the Greatest Common Factor of 79472 and 79488?

Greatest common factor (GCF) of 79472 and 79488 is 16.

GCF(79472,79488) = 16

We will now calculate the prime factors of 79472 and 79488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79472 and 79488.

How to find the GCF of 79472 and 79488?

We will first find the prime factorization of 79472 and 79488. After we will calculate the factors of 79472 and 79488 and find the biggest common factor number .

Step-1: Prime Factorization of 79472

Prime factors of 79472 are 2, 4967. Prime factorization of 79472 in exponential form is:

79472 = 2⁴ × 4967¹

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 79472

List of positive integer factors of 79472 that divides 79472 without a remainder.

1, 2, 4, 8, 16, 4967, 9934, 19868, 39736

Step-4: Factors of 79488

List of positive integer factors of 79488 that divides 79472 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 79472 and 79488. The biggest common factor number is the GCF number.
So the greatest common factor 79472 and 79488 is 16.

Also check out the Least Common Multiple of 79472 and 79488