What is the Greatest Common Factor of 44928 and 44946?

Greatest common factor (GCF) of 44928 and 44946 is 18.

GCF(44928,44946) = 18

We will now calculate the prime factors of 44928 and 44946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44928 and 44946.

How to find the GCF of 44928 and 44946?

We will first find the prime factorization of 44928 and 44946. After we will calculate the factors of 44928 and 44946 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 44946

Prime factors of 44946 are 2, 3, 11, 227. Prime factorization of 44946 in exponential form is:

44946 = 2¹ × 3² × 11¹ × 227¹

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 44946

List of positive integer factors of 44946 that divides 44928 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 227, 454, 681, 1362, 2043, 2497, 4086, 4994, 7491, 14982, 22473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44928 and 44946. The biggest common factor number is the GCF number.
So the greatest common factor 44928 and 44946 is 18.

Also check out the Least Common Multiple of 44928 and 44946