What is the Greatest Common Factor of 28928 and 28944?

Greatest common factor (GCF) of 28928 and 28944 is 16.

GCF(28928,28944) = 16

We will now calculate the prime factors of 28928 and 28944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28928 and 28944.

How to find the GCF of 28928 and 28944?

We will first find the prime factorization of 28928 and 28944. After we will calculate the factors of 28928 and 28944 and find the biggest common factor number .

Step-1: Prime Factorization of 28928

Prime factors of 28928 are 2, 113. Prime factorization of 28928 in exponential form is:

28928 = 2⁸ × 113¹

Step-2: Prime Factorization of 28944

Prime factors of 28944 are 2, 3, 67. Prime factorization of 28944 in exponential form is:

28944 = 2⁴ × 3³ × 67¹

Step-3: Factors of 28928

List of positive integer factors of 28928 that divides 28928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 256, 452, 904, 1808, 3616, 7232, 14464

Step-4: Factors of 28944

List of positive integer factors of 28944 that divides 28928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 108, 134, 144, 201, 216, 268, 402, 432, 536, 603, 804, 1072, 1206, 1608, 1809, 2412, 3216, 3618, 4824, 7236, 9648, 14472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28928 and 28944. The biggest common factor number is the GCF number.
So the greatest common factor 28928 and 28944 is 16.

Also check out the Least Common Multiple of 28928 and 28944