What is the Greatest Common Factor of 8775 and 8790?

Greatest common factor (GCF) of 8775 and 8790 is 15.

GCF(8775,8790) = 15

We will now calculate the prime factors of 8775 and 8790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8775 and 8790.

How to find the GCF of 8775 and 8790?

We will first find the prime factorization of 8775 and 8790. After we will calculate the factors of 8775 and 8790 and find the biggest common factor number .

Step-1: Prime Factorization of 8775

Prime factors of 8775 are 3, 5, 13. Prime factorization of 8775 in exponential form is:

8775 = 3³ × 5² × 13¹

Step-2: Prime Factorization of 8790

Prime factors of 8790 are 2, 3, 5, 293. Prime factorization of 8790 in exponential form is:

8790 = 2¹ × 3¹ × 5¹ × 293¹

Step-3: Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925

Step-4: Factors of 8790

List of positive integer factors of 8790 that divides 8775 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8775 and 8790. The biggest common factor number is the GCF number.
So the greatest common factor 8775 and 8790 is 15.

Also check out the Least Common Multiple of 8775 and 8790