What is the Greatest Common Factor of 28928 and 28945?

Greatest common factor (GCF) of 28928 and 28945 is 1.

GCF(28928,28945) = 1

We will now calculate the prime factors of 28928 and 28945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28928 and 28945.

How to find the GCF of 28928 and 28945?

We will first find the prime factorization of 28928 and 28945. After we will calculate the factors of 28928 and 28945 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 28945

Prime factors of 28945 are 5, 7, 827. Prime factorization of 28945 in exponential form is:

28945 = 5¹ × 7¹ × 827¹

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 28945

List of positive integer factors of 28945 that divides 28928 without a remainder.

1, 5, 7, 35, 827, 4135, 5789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28928 and 28945. The biggest common factor number is the GCF number.
So the greatest common factor 28928 and 28945 is 1.

Also check out the Least Common Multiple of 28928 and 28945