What is the Greatest Common Factor of 2497 and 2503?

Greatest common factor (GCF) of 2497 and 2503 is 1.

GCF(2497,2503) = 1

We will now calculate the prime factors of 2497 and 2503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2497 and 2503.

How to find the GCF of 2497 and 2503?

We will first find the prime factorization of 2497 and 2503. After we will calculate the factors of 2497 and 2503 and find the biggest common factor number .

Step-1: Prime Factorization of 2497

Prime factors of 2497 are 11, 227. Prime factorization of 2497 in exponential form is:

2497 = 11¹ × 227¹

Step-2: Prime Factorization of 2503

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

2503 = 2503¹

Step-3: Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1, 11, 227

Step-4: Factors of 2503

List of positive integer factors of 2503 that divides 2497 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2497 and 2503. The biggest common factor number is the GCF number.
So the greatest common factor 2497 and 2503 is 1.

Also check out the Least Common Multiple of 2497 and 2503