What is the Greatest Common Factor of 28914 and 28928?

Greatest common factor (GCF) of 28914 and 28928 is 2.

GCF(28914,28928) = 2

We will now calculate the prime factors of 28914 and 28928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28914 and 28928.

How to find the GCF of 28914 and 28928?

We will first find the prime factorization of 28914 and 28928. After we will calculate the factors of 28914 and 28928 and find the biggest common factor number .

Step-1: Prime Factorization of 28914

Prime factors of 28914 are 2, 3, 61, 79. Prime factorization of 28914 in exponential form is:

28914 = 2¹ × 3¹ × 61¹ × 79¹

Step-2: Prime Factorization of 28928

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

28928 = 2⁸ × 113¹

Step-3: Factors of 28914

List of positive integer factors of 28914 that divides 28914 without a remainder.

1, 2, 3, 6, 61, 79, 122, 158, 183, 237, 366, 474, 4819, 9638, 14457

Step-4: Factors of 28928

List of positive integer factors of 28928 that divides 28914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28914 and 28928. The biggest common factor number is the GCF number.
So the greatest common factor 28914 and 28928 is 2.

Also check out the Least Common Multiple of 28914 and 28928