What is the Greatest Common Factor of 7497 and 7509?

Greatest common factor (GCF) of 7497 and 7509 is 3.

GCF(7497,7509) = 3

We will now calculate the prime factors of 7497 and 7509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7497 and 7509.

How to find the GCF of 7497 and 7509?

We will first find the prime factorization of 7497 and 7509. After we will calculate the factors of 7497 and 7509 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 7509

Prime factors of 7509 are 3, 2503. Prime factorization of 7509 in exponential form is:

7509 = 3¹ × 2503¹

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 7509

List of positive integer factors of 7509 that divides 7497 without a remainder.

1, 3, 2503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7497 and 7509. The biggest common factor number is the GCF number.
So the greatest common factor 7497 and 7509 is 3.

Also check out the Least Common Multiple of 7497 and 7509