What is the Greatest Common Factor of 22656 and 22671?

Greatest common factor (GCF) of 22656 and 22671 is 3.

GCF(22656,22671) = 3

We will now calculate the prime factors of 22656 and 22671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22656 and 22671.

How to find the GCF of 22656 and 22671?

We will first find the prime factorization of 22656 and 22671. After we will calculate the factors of 22656 and 22671 and find the biggest common factor number .

Step-1: Prime Factorization of 22656

Prime factors of 22656 are 2, 3, 59. Prime factorization of 22656 in exponential form is:

22656 = 2⁷ × 3¹ × 59¹

Step-2: Prime Factorization of 22671

Prime factors of 22671 are 3, 11, 229. Prime factorization of 22671 in exponential form is:

22671 = 3² × 11¹ × 229¹

Step-3: Factors of 22656

List of positive integer factors of 22656 that divides 22656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 354, 384, 472, 708, 944, 1416, 1888, 2832, 3776, 5664, 7552, 11328

Step-4: Factors of 22671

List of positive integer factors of 22671 that divides 22656 without a remainder.

1, 3, 9, 11, 33, 99, 229, 687, 2061, 2519, 7557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22656 and 22671. The biggest common factor number is the GCF number.
So the greatest common factor 22656 and 22671 is 3.

Also check out the Least Common Multiple of 22656 and 22671