What is the Greatest Common Factor of 8626 and 8645?

Greatest common factor (GCF) of 8626 and 8645 is 19.

GCF(8626,8645) = 19

We will now calculate the prime factors of 8626 and 8645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8626 and 8645.

How to find the GCF of 8626 and 8645?

We will first find the prime factorization of 8626 and 8645. After we will calculate the factors of 8626 and 8645 and find the biggest common factor number .

Step-1: Prime Factorization of 8626

Prime factors of 8626 are 2, 19, 227. Prime factorization of 8626 in exponential form is:

8626 = 2¹ × 19¹ × 227¹

Step-2: Prime Factorization of 8645

Prime factors of 8645 are 5, 7, 13, 19. Prime factorization of 8645 in exponential form is:

8645 = 5¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1, 2, 19, 38, 227, 454, 4313

Step-4: Factors of 8645

List of positive integer factors of 8645 that divides 8626 without a remainder.

1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8626 and 8645. The biggest common factor number is the GCF number.
So the greatest common factor 8626 and 8645 is 19.

Also check out the Least Common Multiple of 8626 and 8645