Greatest Common Factor of 2498 and 2506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2498, 2506 i.e. 2 largest integer by which both the numbers can be divided.

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

GCF(2498,2506) = 2

GCF of 2498 and 2506

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2498 and 2506

GCF of 2498 and 2506 is 2

Prime Factorization of 2498


2 2498
1249 1249
1

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

2498 = 21×12491

Prime Factorization of 2506


2 2506
7 1253
179 179
1

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

2506 = 21×71×1791

∴ So by taking common prime factors GCF of 2498 and 2506 is 2

Greatest Common Factor of 2498 and 2506 by matching factors method

Factors of 2498

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

1,2,1249,2498

Factors of 2506

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

1,2,7,14,179,358,1253,2506

Greatest Common Factor

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

Properties of GCF 2498 and 2506

(i) The GCF of 2498 and 2506 is associative

GCF of 2498 and 2506 = GCF of 2506 and 2498

Related Greatest Common Factor of 2498

Related Greatest Common Factor of 2506

Frequently Asked Questions on GCF of 2498 and 2506

1. What is the GCF of 2498 and 2506?

Answer: GCF of 2498 and 2506 is 2.

2. What are the Factors of 2498?

Answer: Factors of 2498 are 1, 2, 1249, 2498. There are 4 integers that are factors of 2498. The greatest factor of 2498 is 2498.

3. What are the Factors of 2506?

Answer: Factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506. There are 8 integers that are factors of 2506. The greatest factor of 2506 is 2506.

4. How to Find the GCF of 2498 and 2506?

Answer:

Greatest Common Factor of 2498 and 2506 = 2

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2506

2506 = 2 x 7 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2498 and 2506 is 2