Greatest Common Factor of 2498 and 2502

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, 2502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2498 and 2502 is 2.

GCF(2498,2502) = 2

GCF of 2498 and 2502

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

GCF of:
and

Greatest Common Factor of 2498 and 2502

GCF of 2498 and 2502 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 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2,3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

∴ So by taking common prime factors GCF of 2498 and 2502 is 2

Greatest Common Factor of 2498 and 2502 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 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1,2,3,6,9,18,139,278,417,834,1251,2502

Greatest Common Factor

We found the factors and prime factorization of 2498 and 2502. The biggest common factor number is the GCF number.
So the greatest common factor 2498 and 2502 is 2.

Also check out the Least Common Multiple of 2498 and 2502

Properties of GCF 2498 and 2502

(i) The GCF of 2498 and 2502 is associative

GCF of 2498 and 2502 = GCF of 2502 and 2498

Related Greatest Common Factor of 2498

Related Greatest Common Factor of 2502

Frequently Asked Questions on GCF of 2498 and 2502

1. What is the GCF of 2498 and 2502?

Answer: GCF of 2498 and 2502 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 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

4. How to Find the GCF of 2498 and 2502?

Answer:

Greatest Common Factor of 2498 and 2502 = 2

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2502

2502 = 2 x 3 x 3 x 139

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 2502 is 2