What is the Greatest Common Factor of 22656 and 22674?

Greatest common factor (GCF) of 22656 and 22674 is 6.

GCF(22656,22674) = 6

We will now calculate the prime factors of 22656 and 22674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22656 and 22674.

How to find the GCF of 22656 and 22674?

We will first find the prime factorization of 22656 and 22674. After we will calculate the factors of 22656 and 22674 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 22674

Prime factors of 22674 are 2, 3, 3779. Prime factorization of 22674 in exponential form is:

22674 = 2¹ × 3¹ × 3779¹

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 22674

List of positive integer factors of 22674 that divides 22656 without a remainder.

1, 2, 3, 6, 3779, 7558, 11337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22656 and 22674. The biggest common factor number is the GCF number.
So the greatest common factor 22656 and 22674 is 6.

Also check out the Least Common Multiple of 22656 and 22674