What is the Greatest Common Factor of 92976 and 92992?

Greatest common factor (GCF) of 92976 and 92992 is 16.

GCF(92976,92992) = 16

We will now calculate the prime factors of 92976 and 92992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92976 and 92992.

How to find the GCF of 92976 and 92992?

We will first find the prime factorization of 92976 and 92992. After we will calculate the factors of 92976 and 92992 and find the biggest common factor number .

Step-1: Prime Factorization of 92976

Prime factors of 92976 are 2, 3, 13, 149. Prime factorization of 92976 in exponential form is:

92976 = 2⁴ × 3¹ × 13¹ × 149¹

Step-2: Prime Factorization of 92992

Prime factors of 92992 are 2, 1453. Prime factorization of 92992 in exponential form is:

92992 = 2⁶ × 1453¹

Step-3: Factors of 92976

List of positive integer factors of 92976 that divides 92976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 149, 156, 208, 298, 312, 447, 596, 624, 894, 1192, 1788, 1937, 2384, 3576, 3874, 5811, 7152, 7748, 11622, 15496, 23244, 30992, 46488

Step-4: Factors of 92992

List of positive integer factors of 92992 that divides 92976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1453, 2906, 5812, 11624, 23248, 46496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92976 and 92992. The biggest common factor number is the GCF number.
So the greatest common factor 92976 and 92992 is 16.

Also check out the Least Common Multiple of 92976 and 92992