What is the Greatest Common Factor of 44688 and 44704?

Greatest common factor (GCF) of 44688 and 44704 is 16.

GCF(44688,44704) = 16

We will now calculate the prime factors of 44688 and 44704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44688 and 44704.

How to find the GCF of 44688 and 44704?

We will first find the prime factorization of 44688 and 44704. After we will calculate the factors of 44688 and 44704 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44704

Prime factors of 44704 are 2, 11, 127. Prime factorization of 44704 in exponential form is:

44704 = 2⁵ × 11¹ × 127¹

Step-3: Factors of 44688

List of positive integer factors of 44688 that divides 44688 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

Step-4: Factors of 44704

List of positive integer factors of 44704 that divides 44688 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 127, 176, 254, 352, 508, 1016, 1397, 2032, 2794, 4064, 5588, 11176, 22352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44688 and 44704. The biggest common factor number is the GCF number.
So the greatest common factor 44688 and 44704 is 16.

Also check out the Least Common Multiple of 44688 and 44704