What is the Greatest Common Factor of 28749 and 28763?

Greatest common factor (GCF) of 28749 and 28763 is 7.

GCF(28749,28763) = 7

We will now calculate the prime factors of 28749 and 28763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28749 and 28763.

How to find the GCF of 28749 and 28763?

We will first find the prime factorization of 28749 and 28763. After we will calculate the factors of 28749 and 28763 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 28763

Prime factors of 28763 are 7, 587. Prime factorization of 28763 in exponential form is:

28763 = 7² × 587¹

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 28763

List of positive integer factors of 28763 that divides 28749 without a remainder.

1, 7, 49, 587, 4109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28749 and 28763. The biggest common factor number is the GCF number.
So the greatest common factor 28749 and 28763 is 7.

Also check out the Least Common Multiple of 28749 and 28763