Greatest Common Factor of 7490 and 7496

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, 7496 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7490 and 7496 is 2.

GCF(7490,7496) = 2

GCF of 7490 and 7496

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

GCF of:
and

Greatest Common Factor of 7490 and 7496

GCF of 7490 and 7496 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 7496


2 7496
2 3748
2 1874
937 937
1

Prime factors of 7496 are 2,937. Prime factorization of 7496 in exponential form is:

7496 = 23×9371

∴ So by taking common prime factors GCF of 7490 and 7496 is 2

Greatest Common Factor of 7490 and 7496 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 7496

List of positive integer factors of 7496 that divides 7496 without a remainder.

1,2,4,8,937,1874,3748,7496

Greatest Common Factor

We found the factors and prime factorization of 7490 and 7496. The biggest common factor number is the GCF number.
So the greatest common factor 7490 and 7496 is 2.

Also check out the Least Common Multiple of 7490 and 7496

Properties of GCF 7490 and 7496

(i) The GCF of 7490 and 7496 is associative

GCF of 7490 and 7496 = GCF of 7496 and 7490

Related Greatest Common Factor of 7490

Related Greatest Common Factor of 7496

Frequently Asked Questions on GCF of 7490 and 7496

1. What is the GCF of 7490 and 7496?

Answer: GCF of 7490 and 7496 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 7496?

Answer: Factors of 7496 are 1, 2, 4, 8, 937, 1874, 3748, 7496. There are 8 integers that are factors of 7496. The greatest factor of 7496 is 7496.

4. How to Find the GCF of 7490 and 7496?

Answer:

Greatest Common Factor of 7490 and 7496 = 2

Step 1: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

Step 2: Find the prime factorization of 7496

7496 = 2 x 2 x 2 x 937

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 7496 is 2