What is the Greatest Common Factor of 2498 and 2506?

Greatest common factor (GCF) of 2498 and 2506 is 2.

GCF(2498,2506) = 2

We will now calculate the prime factors of 2498 and 2506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2498 and 2506.

How to find the GCF of 2498 and 2506?

We will first find the prime factorization of 2498 and 2506. After we will calculate the factors of 2498 and 2506 and find the biggest common factor number .

Step-1: Prime Factorization of 2498

Prime factors of 2498 are 2, 1249. Prime factorization of 2498 in exponential form is:

2498 = 2¹ × 1249¹

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 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1, 2, 1249

Step-4: Factors of 2506

List of positive integer factors of 2506 that divides 2498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2498 and 2506. The biggest common factor number is the GCF number.
So the greatest common factor 2498 and 2506 is 2.

Also check out the Least Common Multiple of 2498 and 2506