What is the Greatest Common Factor of 8635 and 8649?

Greatest common factor (GCF) of 8635 and 8649 is 1.

GCF(8635,8649) = 1

We will now calculate the prime factors of 8635 and 8649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8635 and 8649.

How to find the GCF of 8635 and 8649?

We will first find the prime factorization of 8635 and 8649. After we will calculate the factors of 8635 and 8649 and find the biggest common factor number .

Step-1: Prime Factorization of 8635

Prime factors of 8635 are 5, 11, 157. Prime factorization of 8635 in exponential form is:

8635 = 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 8649

Prime factors of 8649 are 3, 31. Prime factorization of 8649 in exponential form is:

8649 = 3² × 31²

Step-3: Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1, 5, 11, 55, 157, 785, 1727

Step-4: Factors of 8649

List of positive integer factors of 8649 that divides 8635 without a remainder.

1, 3, 9, 31, 93, 279, 961, 2883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8635 and 8649. The biggest common factor number is the GCF number.
So the greatest common factor 8635 and 8649 is 1.

Also check out the Least Common Multiple of 8635 and 8649