What is the Greatest Common Factor of 8762 and 8775?

Greatest common factor (GCF) of 8762 and 8775 is 13.

GCF(8762,8775) = 13

We will now calculate the prime factors of 8762 and 8775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8762 and 8775.

How to find the GCF of 8762 and 8775?

We will first find the prime factorization of 8762 and 8775. After we will calculate the factors of 8762 and 8775 and find the biggest common factor number .

Step-1: Prime Factorization of 8762

Prime factors of 8762 are 2, 13, 337. Prime factorization of 8762 in exponential form is:

8762 = 2¹ × 13¹ × 337¹

Step-2: 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-3: Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1, 2, 13, 26, 337, 674, 4381

Step-4: Factors of 8775

List of positive integer factors of 8775 that divides 8762 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8762 and 8775. The biggest common factor number is the GCF number.
So the greatest common factor 8762 and 8775 is 13.

Also check out the Least Common Multiple of 8762 and 8775