Greatest Common Factor of 7498 and 7502

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 7498, 7502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7498 and 7502 is 2.

GCF(7498,7502) = 2

GCF of 7498 and 7502

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

GCF of:
and

Greatest Common Factor of 7498 and 7502

GCF of 7498 and 7502 is 2

Prime Factorization of 7498


2 7498
23 3749
163 163
1

Prime factors of 7498 are 2,23,163. Prime factorization of 7498 in exponential form is:

7498 = 21×231×1631

Prime Factorization of 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2,11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

∴ So by taking common prime factors GCF of 7498 and 7502 is 2

Greatest Common Factor of 7498 and 7502 by matching factors method

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1,2,23,46,163,326,3749,7498

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors and prime factorization of 7498 and 7502. The biggest common factor number is the GCF number.
So the greatest common factor 7498 and 7502 is 2.

Also check out the Least Common Multiple of 7498 and 7502

Properties of GCF 7498 and 7502

(i) The GCF of 7498 and 7502 is associative

GCF of 7498 and 7502 = GCF of 7502 and 7498

Related Greatest Common Factor of 7498

Related Greatest Common Factor of 7502

Frequently Asked Questions on GCF of 7498 and 7502

1. What is the GCF of 7498 and 7502?

Answer: GCF of 7498 and 7502 is 2.

2. What are the Factors of 7498?

Answer: Factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498. There are 8 integers that are factors of 7498. The greatest factor of 7498 is 7498.

3. What are the Factors of 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

4. How to Find the GCF of 7498 and 7502?

Answer:

Greatest Common Factor of 7498 and 7502 = 2

Step 1: Find the prime factorization of 7498

7498 = 2 x 23 x 163

Step 2: Find the prime factorization of 7502

7502 = 2 x 11 x 11 x 31

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 7498 and 7502 is 2