What is the Greatest Common Factor of 79312 and 79320?

Greatest common factor (GCF) of 79312 and 79320 is 8.

GCF(79312,79320) = 8

We will now calculate the prime factors of 79312 and 79320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79312 and 79320.

How to find the GCF of 79312 and 79320?

We will first find the prime factorization of 79312 and 79320. After we will calculate the factors of 79312 and 79320 and find the biggest common factor number .

Step-1: Prime Factorization of 79312

Prime factors of 79312 are 2, 4957. Prime factorization of 79312 in exponential form is:

79312 = 2⁴ × 4957¹

Step-2: Prime Factorization of 79320

Prime factors of 79320 are 2, 3, 5, 661. Prime factorization of 79320 in exponential form is:

79320 = 2³ × 3¹ × 5¹ × 661¹

Step-3: Factors of 79312

List of positive integer factors of 79312 that divides 79312 without a remainder.

1, 2, 4, 8, 16, 4957, 9914, 19828, 39656

Step-4: Factors of 79320

List of positive integer factors of 79320 that divides 79312 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 661, 1322, 1983, 2644, 3305, 3966, 5288, 6610, 7932, 9915, 13220, 15864, 19830, 26440, 39660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79312 and 79320. The biggest common factor number is the GCF number.
So the greatest common factor 79312 and 79320 is 8.

Also check out the Least Common Multiple of 79312 and 79320