What is the Greatest Common Factor of 79469 and 79488?

Greatest common factor (GCF) of 79469 and 79488 is 1.

GCF(79469,79488) = 1

We will now calculate the prime factors of 79469 and 79488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79469 and 79488.

How to find the GCF of 79469 and 79488?

We will first find the prime factorization of 79469 and 79488. After we will calculate the factors of 79469 and 79488 and find the biggest common factor number .

Step-1: Prime Factorization of 79469

Prime factors of 79469 are 13, 6113. Prime factorization of 79469 in exponential form is:

79469 = 13¹ × 6113¹

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 79469

List of positive integer factors of 79469 that divides 79469 without a remainder.

1, 13, 6113

Step-4: Factors of 79488

List of positive integer factors of 79488 that divides 79469 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 79469 and 79488. The biggest common factor number is the GCF number.
So the greatest common factor 79469 and 79488 is 1.

Also check out the Least Common Multiple of 79469 and 79488