Greatest Common Factor of 7484 and 7490

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 7484, 7490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7484 and 7490 is 2.

GCF(7484,7490) = 2

GCF of 7484 and 7490

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

GCF of:
and

Greatest Common Factor of 7484 and 7490

GCF of 7484 and 7490 is 2

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

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

∴ So by taking common prime factors GCF of 7484 and 7490 is 2

Greatest Common Factor of 7484 and 7490 by matching factors method

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

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

Greatest Common Factor

We found the factors and prime factorization of 7484 and 7490. The biggest common factor number is the GCF number.
So the greatest common factor 7484 and 7490 is 2.

Also check out the Least Common Multiple of 7484 and 7490

Properties of GCF 7484 and 7490

(i) The GCF of 7484 and 7490 is associative

GCF of 7484 and 7490 = GCF of 7490 and 7484

Related Greatest Common Factor of 7484

Related Greatest Common Factor of 7490

Frequently Asked Questions on GCF of 7484 and 7490

1. What is the GCF of 7484 and 7490?

Answer: GCF of 7484 and 7490 is 2.

2. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

3. 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.

4. How to Find the GCF of 7484 and 7490?

Answer:

Greatest Common Factor of 7484 and 7490 = 2

Step 1: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

Step 2: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

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 7484 and 7490 is 2