What is the Greatest Common Factor of 28928 and 28947?

Greatest common factor (GCF) of 28928 and 28947 is 1.

GCF(28928,28947) = 1

We will now calculate the prime factors of 28928 and 28947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28928 and 28947.

How to find the GCF of 28928 and 28947?

We will first find the prime factorization of 28928 and 28947. After we will calculate the factors of 28928 and 28947 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 28947

Prime factors of 28947 are 3, 9649. Prime factorization of 28947 in exponential form is:

28947 = 3¹ × 9649¹

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 28947

List of positive integer factors of 28947 that divides 28928 without a remainder.

1, 3, 9649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28928 and 28947. The biggest common factor number is the GCF number.
So the greatest common factor 28928 and 28947 is 1.

Also check out the Least Common Multiple of 28928 and 28947