What is the Greatest Common Factor of 8629 and 8635?

Greatest common factor (GCF) of 8629 and 8635 is 1.

GCF(8629,8635) = 1

We will now calculate the prime factors of 8629 and 8635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8629 and 8635.

How to find the GCF of 8629 and 8635?

We will first find the prime factorization of 8629 and 8635. After we will calculate the factors of 8629 and 8635 and find the biggest common factor number .

Step-1: Prime Factorization of 8629

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 8629¹

Step-2: 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-3: Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

Step-4: Factors of 8635

List of positive integer factors of 8635 that divides 8629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8629 and 8635. The biggest common factor number is the GCF number.
So the greatest common factor 8629 and 8635 is 1.

Also check out the Least Common Multiple of 8629 and 8635