What is the Greatest Common Factor of 8645 and 8655?

Greatest common factor (GCF) of 8645 and 8655 is 5.

GCF(8645,8655) = 5

We will now calculate the prime factors of 8645 and 8655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8645 and 8655.

How to find the GCF of 8645 and 8655?

We will first find the prime factorization of 8645 and 8655. After we will calculate the factors of 8645 and 8655 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 8655

Prime factors of 8655 are 3, 5, 577. Prime factorization of 8655 in exponential form is:

8655 = 3¹ × 5¹ × 577¹

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 8655

List of positive integer factors of 8655 that divides 8645 without a remainder.

1, 3, 5, 15, 577, 1731, 2885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8645 and 8655. The biggest common factor number is the GCF number.
So the greatest common factor 8645 and 8655 is 5.

Also check out the Least Common Multiple of 8645 and 8655