What is the Greatest Common Factor of 8645 and 8659?

Greatest common factor (GCF) of 8645 and 8659 is 7.

GCF(8645,8659) = 7

We will now calculate the prime factors of 8645 and 8659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8645 and 8659.

How to find the GCF of 8645 and 8659?

We will first find the prime factorization of 8645 and 8659. After we will calculate the factors of 8645 and 8659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8659

Prime factors of 8659 are 7, 1237. Prime factorization of 8659 in exponential form is:

8659 = 7¹ × 1237¹

Step-3: Factors of 8645

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

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

Step-4: Factors of 8659

List of positive integer factors of 8659 that divides 8645 without a remainder.

1, 7, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8645 and 8659. The biggest common factor number is the GCF number.
So the greatest common factor 8645 and 8659 is 7.

Also check out the Least Common Multiple of 8645 and 8659