What is the Greatest Common Factor of 44688 and 44703?

Greatest common factor (GCF) of 44688 and 44703 is 3.

GCF(44688,44703) = 3

We will now calculate the prime factors of 44688 and 44703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44688 and 44703.

How to find the GCF of 44688 and 44703?

We will first find the prime factorization of 44688 and 44703. After we will calculate the factors of 44688 and 44703 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 44703

Prime factors of 44703 are 3, 4967. Prime factorization of 44703 in exponential form is:

44703 = 3² × 4967¹

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 44703

List of positive integer factors of 44703 that divides 44688 without a remainder.

1, 3, 9, 4967, 14901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44688 and 44703. The biggest common factor number is the GCF number.
So the greatest common factor 44688 and 44703 is 3.

Also check out the Least Common Multiple of 44688 and 44703