What is the Greatest Common Factor of 79488 and 79504?

Greatest common factor (GCF) of 79488 and 79504 is 16.

GCF(79488,79504) = 16

We will now calculate the prime factors of 79488 and 79504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79488 and 79504.

How to find the GCF of 79488 and 79504?

We will first find the prime factorization of 79488 and 79504. After we will calculate the factors of 79488 and 79504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79504

Prime factors of 79504 are 2, 4969. Prime factorization of 79504 in exponential form is:

79504 = 2⁴ × 4969¹

Step-3: Factors of 79488

List of positive integer factors of 79488 that divides 79488 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

Step-4: Factors of 79504

List of positive integer factors of 79504 that divides 79488 without a remainder.

1, 2, 4, 8, 16, 4969, 9938, 19876, 39752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79488 and 79504. The biggest common factor number is the GCF number.
So the greatest common factor 79488 and 79504 is 16.

Also check out the Least Common Multiple of 79488 and 79504