Greatest Common Factor of 7490 and 7498

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 7490, 7498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7490 and 7498 is 2.

GCF(7490,7498) = 2

GCF of 7490 and 7498

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

GCF of:
and

Greatest Common Factor of 7490 and 7498

GCF of 7490 and 7498 is 2

Prime Factorization of 7490


2 7490
5 3745
7 749
107 107
1

Prime factors of 7490 are 2,5,7,107. Prime factorization of 7490 in exponential form is:

7490 = 21×51×71×1071

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

∴ So by taking common prime factors GCF of 7490 and 7498 is 2

Greatest Common Factor of 7490 and 7498 by matching factors method

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490

Factors of 7498

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

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

Greatest Common Factor

We found the factors and prime factorization of 7490 and 7498. The biggest common factor number is the GCF number.
So the greatest common factor 7490 and 7498 is 2.

Also check out the Least Common Multiple of 7490 and 7498

Properties of GCF 7490 and 7498

(i) The GCF of 7490 and 7498 is associative

GCF of 7490 and 7498 = GCF of 7498 and 7490

Related Greatest Common Factor of 7490

Related Greatest Common Factor of 7498

Frequently Asked Questions on GCF of 7490 and 7498

1. What is the GCF of 7490 and 7498?

Answer: GCF of 7490 and 7498 is 2.

2. What are the Factors of 7490?

Answer: Factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490. There are 16 integers that are factors of 7490. The greatest factor of 7490 is 7490.

3. 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.

4. How to Find the GCF of 7490 and 7498?

Answer:

Greatest Common Factor of 7490 and 7498 = 2

Step 1: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

Step 2: Find the prime factorization of 7498

7498 = 2 x 23 x 163

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 7490 and 7498 is 2