Greatest Common Factor of 7490 and 7497

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, 7497 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7490 and 7497 is 7.

GCF(7490,7497) = 7

GCF of 7490 and 7497

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

GCF of:
and

Greatest Common Factor of 7490 and 7497

GCF of 7490 and 7497 is 7

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 7497


3 7497
3 2499
7 833
7 119
17 17
1

Prime factors of 7497 are 3,7,17. Prime factorization of 7497 in exponential form is:

7497 = 32×72×171

∴ So by taking common prime factors GCF of 7490 and 7497 is 7

Greatest Common Factor of 7490 and 7497 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 7497

List of positive integer factors of 7497 that divides 7497 without a remainder.

1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497

Greatest Common Factor

We found the factors and prime factorization of 7490 and 7497. The biggest common factor number is the GCF number.
So the greatest common factor 7490 and 7497 is 7.

Also check out the Least Common Multiple of 7490 and 7497

Properties of GCF 7490 and 7497

(i) The GCF of 7490 and 7497 is associative

GCF of 7490 and 7497 = GCF of 7497 and 7490

Related Greatest Common Factor of 7490

Related Greatest Common Factor of 7497

Frequently Asked Questions on GCF of 7490 and 7497

1. What is the GCF of 7490 and 7497?

Answer: GCF of 7490 and 7497 is 7.

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 7497?

Answer: Factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497. There are 18 integers that are factors of 7497. The greatest factor of 7497 is 7497.

4. How to Find the GCF of 7490 and 7497?

Answer:

Greatest Common Factor of 7490 and 7497 = 7

Step 1: Find the prime factorization of 7490

7490 = 2 x 5 x 7 x 107

Step 2: Find the prime factorization of 7497

7497 = 3 x 3 x 7 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 7490 and 7497 is 7