What is the Greatest Common Factor of 2506 and 2513?

Greatest common factor (GCF) of 2506 and 2513 is 7.

GCF(2506,2513) = 7

We will now calculate the prime factors of 2506 and 2513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2506 and 2513.

How to find the GCF of 2506 and 2513?

We will first find the prime factorization of 2506 and 2513. After we will calculate the factors of 2506 and 2513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2513

Prime factors of 2513 are 7, 359. Prime factorization of 2513 in exponential form is:

2513 = 7¹ × 359¹

Step-3: Factors of 2506

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

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

Step-4: Factors of 2513

List of positive integer factors of 2513 that divides 2506 without a remainder.

1, 7, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2506 and 2513. The biggest common factor number is the GCF number.
So the greatest common factor 2506 and 2513 is 7.

Also check out the Least Common Multiple of 2506 and 2513