What is the Greatest Common Factor of 44672 and 44688?

Greatest common factor (GCF) of 44672 and 44688 is 16.

GCF(44672,44688) = 16

We will now calculate the prime factors of 44672 and 44688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44672 and 44688.

How to find the GCF of 44672 and 44688?

We will first find the prime factorization of 44672 and 44688. After we will calculate the factors of 44672 and 44688 and find the biggest common factor number .

Step-1: Prime Factorization of 44672

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

44672 = 2⁷ × 349¹

Step-2: Prime Factorization of 44688

Prime factors of 44688 are 2, 3, 7, 19. Prime factorization of 44688 in exponential form is:

44688 = 2⁴ × 3¹ × 7² × 19¹

Step-3: Factors of 44672

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

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

Step-4: Factors of 44688

List of positive integer factors of 44688 that divides 44672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 49, 56, 57, 76, 84, 98, 112, 114, 133, 147, 152, 168, 196, 228, 266, 294, 304, 336, 392, 399, 456, 532, 588, 784, 798, 912, 931, 1064, 1176, 1596, 1862, 2128, 2352, 2793, 3192, 3724, 5586, 6384, 7448, 11172, 14896, 22344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44672 and 44688. The biggest common factor number is the GCF number.
So the greatest common factor 44672 and 44688 is 16.

Also check out the Least Common Multiple of 44672 and 44688