What is the Greatest Common Factor of 28749 and 28756?

Greatest common factor (GCF) of 28749 and 28756 is 7.

GCF(28749,28756) = 7

We will now calculate the prime factors of 28749 and 28756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28749 and 28756.

How to find the GCF of 28749 and 28756?

We will first find the prime factorization of 28749 and 28756. After we will calculate the factors of 28749 and 28756 and find the biggest common factor number .

Step-1: Prime Factorization of 28749

Prime factors of 28749 are 3, 7, 37. Prime factorization of 28749 in exponential form is:

28749 = 3¹ × 7¹ × 37²

Step-2: 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-3: Factors of 28749

List of positive integer factors of 28749 that divides 28749 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777, 1369, 4107, 9583

Step-4: Factors of 28756

List of positive integer factors of 28756 that divides 28749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28749 and 28756. The biggest common factor number is the GCF number.
So the greatest common factor 28749 and 28756 is 7.

Also check out the Least Common Multiple of 28749 and 28756