What is the Greatest Common Factor of 7497 and 7503?

Greatest common factor (GCF) of 7497 and 7503 is 3.

GCF(7497,7503) = 3

We will now calculate the prime factors of 7497 and 7503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7497 and 7503.

How to find the GCF of 7497 and 7503?

We will first find the prime factorization of 7497 and 7503. After we will calculate the factors of 7497 and 7503 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 7503

Prime factors of 7503 are 3, 41, 61. Prime factorization of 7503 in exponential form is:

7503 = 3¹ × 41¹ × 61¹

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 7503

List of positive integer factors of 7503 that divides 7497 without a remainder.

1, 3, 41, 61, 123, 183, 2501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7497 and 7503. The biggest common factor number is the GCF number.
So the greatest common factor 7497 and 7503 is 3.

Also check out the Least Common Multiple of 7497 and 7503