What is the Greatest Common Factor of 44928 and 44942?

Greatest common factor (GCF) of 44928 and 44942 is 2.

GCF(44928,44942) = 2

We will now calculate the prime factors of 44928 and 44942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44928 and 44942.

How to find the GCF of 44928 and 44942?

We will first find the prime factorization of 44928 and 44942. After we will calculate the factors of 44928 and 44942 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 44942

Prime factors of 44942 are 2, 23, 977. Prime factorization of 44942 in exponential form is:

44942 = 2¹ × 23¹ × 977¹

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 44942

List of positive integer factors of 44942 that divides 44928 without a remainder.

1, 2, 23, 46, 977, 1954, 22471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44928 and 44942. The biggest common factor number is the GCF number.
So the greatest common factor 44928 and 44942 is 2.

Also check out the Least Common Multiple of 44928 and 44942