What is the Greatest Common Factor of 2497 and 2506?

Greatest common factor (GCF) of 2497 and 2506 is 1.

GCF(2497,2506) = 1

We will now calculate the prime factors of 2497 and 2506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2497 and 2506.

How to find the GCF of 2497 and 2506?

We will first find the prime factorization of 2497 and 2506. After we will calculate the factors of 2497 and 2506 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 2506

Prime factors of 2506 are 2, 7, 179. Prime factorization of 2506 in exponential form is:

2506 = 2¹ × 7¹ × 179¹

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 2506

List of positive integer factors of 2506 that divides 2497 without a remainder.

1, 2, 7, 14, 179, 358, 1253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2497 and 2506. The biggest common factor number is the GCF number.
So the greatest common factor 2497 and 2506 is 1.

Also check out the Least Common Multiple of 2497 and 2506