What is the Greatest Common Factor of 79488 and 79506?

Greatest common factor (GCF) of 79488 and 79506 is 18.

GCF(79488,79506) = 18

We will now calculate the prime factors of 79488 and 79506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79488 and 79506.

How to find the GCF of 79488 and 79506?

We will first find the prime factorization of 79488 and 79506. After we will calculate the factors of 79488 and 79506 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 79506

Prime factors of 79506 are 2, 3, 7, 631. Prime factorization of 79506 in exponential form is:

79506 = 2¹ × 3² × 7¹ × 631¹

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 79506

List of positive integer factors of 79506 that divides 79488 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 631, 1262, 1893, 3786, 4417, 5679, 8834, 11358, 13251, 26502, 39753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79488 and 79506. The biggest common factor number is the GCF number.
So the greatest common factor 79488 and 79506 is 18.

Also check out the Least Common Multiple of 79488 and 79506