What is the Greatest Common Factor of 44656 and 44672?

Greatest common factor (GCF) of 44656 and 44672 is 16.

GCF(44656,44672) = 16

We will now calculate the prime factors of 44656 and 44672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44656 and 44672.

How to find the GCF of 44656 and 44672?

We will first find the prime factorization of 44656 and 44672. After we will calculate the factors of 44656 and 44672 and find the biggest common factor number .

Step-1: Prime Factorization of 44656

Prime factors of 44656 are 2, 2791. Prime factorization of 44656 in exponential form is:

44656 = 2⁴ × 2791¹

Step-2: Prime Factorization of 44672

Prime factors of 44672 are 2, 349. Prime factorization of 44672 in exponential form is:

44672 = 2⁷ × 349¹

Step-3: Factors of 44656

List of positive integer factors of 44656 that divides 44656 without a remainder.

1, 2, 4, 8, 16, 2791, 5582, 11164, 22328

Step-4: Factors of 44672

List of positive integer factors of 44672 that divides 44656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 349, 698, 1396, 2792, 5584, 11168, 22336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44656 and 44672. The biggest common factor number is the GCF number.
So the greatest common factor 44656 and 44672 is 16.

Also check out the Least Common Multiple of 44656 and 44672