What is the Greatest Common Factor of 44928 and 44940?

Greatest common factor (GCF) of 44928 and 44940 is 12.

GCF(44928,44940) = 12

We will now calculate the prime factors of 44928 and 44940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44928 and 44940.

How to find the GCF of 44928 and 44940?

We will first find the prime factorization of 44928 and 44940. After we will calculate the factors of 44928 and 44940 and find the biggest common factor number .

Step-1: Prime Factorization of 44928

Prime factors of 44928 are 2, 3, 13. Prime factorization of 44928 in exponential form is:

44928 = 2⁷ × 3³ × 13¹

Step-2: Prime Factorization of 44940

Prime factors of 44940 are 2, 3, 5, 7, 107. Prime factorization of 44940 in exponential form is:

44940 = 2² × 3¹ × 5¹ × 7¹ × 107¹

Step-3: Factors of 44928

List of positive integer factors of 44928 that divides 44928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 96, 104, 108, 117, 128, 144, 156, 192, 208, 216, 234, 288, 312, 351, 384, 416, 432, 468, 576, 624, 702, 832, 864, 936, 1152, 1248, 1404, 1664, 1728, 1872, 2496, 2808, 3456, 3744, 4992, 5616, 7488, 11232, 14976, 22464

Step-4: Factors of 44940

List of positive integer factors of 44940 that divides 44928 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 107, 140, 210, 214, 321, 420, 428, 535, 642, 749, 1070, 1284, 1498, 1605, 2140, 2247, 2996, 3210, 3745, 4494, 6420, 7490, 8988, 11235, 14980, 22470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44928 and 44940. The biggest common factor number is the GCF number.
So the greatest common factor 44928 and 44940 is 12.

Also check out the Least Common Multiple of 44928 and 44940