What is the Greatest Common Factor of 22977 and 22992?

Greatest common factor (GCF) of 22977 and 22992 is 3.

GCF(22977,22992) = 3

We will now calculate the prime factors of 22977 and 22992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22977 and 22992.

How to find the GCF of 22977 and 22992?

We will first find the prime factorization of 22977 and 22992. After we will calculate the factors of 22977 and 22992 and find the biggest common factor number .

Step-1: Prime Factorization of 22977

Prime factors of 22977 are 3, 23, 37. Prime factorization of 22977 in exponential form is:

22977 = 3³ × 23¹ × 37¹

Step-2: Prime Factorization of 22992

Prime factors of 22992 are 2, 3, 479. Prime factorization of 22992 in exponential form is:

22992 = 2⁴ × 3¹ × 479¹

Step-3: Factors of 22977

List of positive integer factors of 22977 that divides 22977 without a remainder.

1, 3, 9, 23, 27, 37, 69, 111, 207, 333, 621, 851, 999, 2553, 7659

Step-4: Factors of 22992

List of positive integer factors of 22992 that divides 22977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 479, 958, 1437, 1916, 2874, 3832, 5748, 7664, 11496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22977 and 22992. The biggest common factor number is the GCF number.
So the greatest common factor 22977 and 22992 is 3.

Also check out the Least Common Multiple of 22977 and 22992