What is the Greatest Common Factor of 28756 and 28771?

Greatest common factor (GCF) of 28756 and 28771 is 1.

GCF(28756,28771) = 1

We will now calculate the prime factors of 28756 and 28771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28756 and 28771.

How to find the GCF of 28756 and 28771?

We will first find the prime factorization of 28756 and 28771. After we will calculate the factors of 28756 and 28771 and find the biggest common factor number .

Step-1: Prime Factorization of 28756

Prime factors of 28756 are 2, 7, 13, 79. Prime factorization of 28756 in exponential form is:

28756 = 2² × 7¹ × 13¹ × 79¹

Step-2: Prime Factorization of 28771

Prime factors of 28771 are 28771. Prime factorization of 28771 in exponential form is:

28771 = 28771¹

Step-3: Factors of 28756

List of positive integer factors of 28756 that divides 28756 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 79, 91, 158, 182, 316, 364, 553, 1027, 1106, 2054, 2212, 4108, 7189, 14378

Step-4: Factors of 28771

List of positive integer factors of 28771 that divides 28756 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28756 and 28771. The biggest common factor number is the GCF number.
So the greatest common factor 28756 and 28771 is 1.

Also check out the Least Common Multiple of 28756 and 28771