What is the Greatest Common Factor of 7585 and 7605?

Greatest common factor (GCF) of 7585 and 7605 is 5.

GCF(7585,7605) = 5

We will now calculate the prime factors of 7585 and 7605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7585 and 7605.

How to find the GCF of 7585 and 7605?

We will first find the prime factorization of 7585 and 7605. After we will calculate the factors of 7585 and 7605 and find the biggest common factor number .

Step-1: Prime Factorization of 7585

Prime factors of 7585 are 5, 37, 41. Prime factorization of 7585 in exponential form is:

7585 = 5¹ × 37¹ × 41¹

Step-2: Prime Factorization of 7605

Prime factors of 7605 are 3, 5, 13. Prime factorization of 7605 in exponential form is:

7605 = 3² × 5¹ × 13²

Step-3: Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1, 5, 37, 41, 185, 205, 1517

Step-4: Factors of 7605

List of positive integer factors of 7605 that divides 7585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7585 and 7605. The biggest common factor number is the GCF number.
So the greatest common factor 7585 and 7605 is 5.

Also check out the Least Common Multiple of 7585 and 7605