What is the Greatest Common Factor of 79392 and 79407?

Greatest common factor (GCF) of 79392 and 79407 is 3.

GCF(79392,79407) = 3

We will now calculate the prime factors of 79392 and 79407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79392 and 79407.

How to find the GCF of 79392 and 79407?

We will first find the prime factorization of 79392 and 79407. After we will calculate the factors of 79392 and 79407 and find the biggest common factor number .

Step-1: Prime Factorization of 79392

Prime factors of 79392 are 2, 3, 827. Prime factorization of 79392 in exponential form is:

79392 = 2⁵ × 3¹ × 827¹

Step-2: Prime Factorization of 79407

Prime factors of 79407 are 3, 17, 173. Prime factorization of 79407 in exponential form is:

79407 = 3³ × 17¹ × 173¹

Step-3: Factors of 79392

List of positive integer factors of 79392 that divides 79392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 827, 1654, 2481, 3308, 4962, 6616, 9924, 13232, 19848, 26464, 39696

Step-4: Factors of 79407

List of positive integer factors of 79407 that divides 79392 without a remainder.

1, 3, 9, 17, 27, 51, 153, 173, 459, 519, 1557, 2941, 4671, 8823, 26469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79392 and 79407. The biggest common factor number is the GCF number.
So the greatest common factor 79392 and 79407 is 3.

Also check out the Least Common Multiple of 79392 and 79407