What is the Greatest Common Factor of 7595 and 7609?

Greatest common factor (GCF) of 7595 and 7609 is 7.

GCF(7595,7609) = 7

We will now calculate the prime factors of 7595 and 7609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7595 and 7609.

How to find the GCF of 7595 and 7609?

We will first find the prime factorization of 7595 and 7609. After we will calculate the factors of 7595 and 7609 and find the biggest common factor number .

Step-1: Prime Factorization of 7595

Prime factors of 7595 are 5, 7, 31. Prime factorization of 7595 in exponential form is:

7595 = 5¹ × 7² × 31¹

Step-2: Prime Factorization of 7609

Prime factors of 7609 are 7, 1087. Prime factorization of 7609 in exponential form is:

7609 = 7¹ × 1087¹

Step-3: Factors of 7595

List of positive integer factors of 7595 that divides 7595 without a remainder.

1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519

Step-4: Factors of 7609

List of positive integer factors of 7609 that divides 7595 without a remainder.

1, 7, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7595 and 7609. The biggest common factor number is the GCF number.
So the greatest common factor 7595 and 7609 is 7.

Also check out the Least Common Multiple of 7595 and 7609