What is the Greatest Common Factor of 79392 and 79408?

Greatest common factor (GCF) of 79392 and 79408 is 16.

GCF(79392,79408) = 16

We will now calculate the prime factors of 79392 and 79408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79392 and 79408.

How to find the GCF of 79392 and 79408?

We will first find the prime factorization of 79392 and 79408. After we will calculate the factors of 79392 and 79408 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 79408

Prime factors of 79408 are 2, 7, 709. Prime factorization of 79408 in exponential form is:

79408 = 2⁴ × 7¹ × 709¹

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 79408

List of positive integer factors of 79408 that divides 79392 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 709, 1418, 2836, 4963, 5672, 9926, 11344, 19852, 39704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79392 and 79408. The biggest common factor number is the GCF number.
So the greatest common factor 79392 and 79408 is 16.

Also check out the Least Common Multiple of 79392 and 79408