What is the Greatest Common Factor of 7635 and 7655?

Greatest common factor (GCF) of 7635 and 7655 is 5.

GCF(7635,7655) = 5

We will now calculate the prime factors of 7635 and 7655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7635 and 7655.

How to find the GCF of 7635 and 7655?

We will first find the prime factorization of 7635 and 7655. After we will calculate the factors of 7635 and 7655 and find the biggest common factor number .

Step-1: Prime Factorization of 7635

Prime factors of 7635 are 3, 5, 509. Prime factorization of 7635 in exponential form is:

7635 = 3¹ × 5¹ × 509¹

Step-2: Prime Factorization of 7655

Prime factors of 7655 are 5, 1531. Prime factorization of 7655 in exponential form is:

7655 = 5¹ × 1531¹

Step-3: Factors of 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1, 3, 5, 15, 509, 1527, 2545

Step-4: Factors of 7655

List of positive integer factors of 7655 that divides 7635 without a remainder.

1, 5, 1531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7635 and 7655. The biggest common factor number is the GCF number.
So the greatest common factor 7635 and 7655 is 5.

Also check out the Least Common Multiple of 7635 and 7655