What is the Greatest Common Factor of 7497 and 7517?

Greatest common factor (GCF) of 7497 and 7517 is 1.

GCF(7497,7517) = 1

We will now calculate the prime factors of 7497 and 7517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7497 and 7517.

How to find the GCF of 7497 and 7517?

We will first find the prime factorization of 7497 and 7517. After we will calculate the factors of 7497 and 7517 and find the biggest common factor number .

Step-1: Prime Factorization of 7497

Prime factors of 7497 are 3, 7, 17. Prime factorization of 7497 in exponential form is:

7497 = 3² × 7² × 17¹

Step-2: Prime Factorization of 7517

Prime factors of 7517 are 7517. Prime factorization of 7517 in exponential form is:

7517 = 7517¹

Step-3: Factors of 7497

List of positive integer factors of 7497 that divides 7497 without a remainder.

1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499

Step-4: Factors of 7517

List of positive integer factors of 7517 that divides 7497 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7497 and 7517. The biggest common factor number is the GCF number.
So the greatest common factor 7497 and 7517 is 1.

Also check out the Least Common Multiple of 7497 and 7517