Greatest Common Factor of 7491 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 7491, 7497 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7491 and 7497 is 3.

GCF(7491,7497) = 3

GCF of 7491 and 7497

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

GCF of:
and

Greatest Common Factor of 7491 and 7497

GCF of 7491 and 7497 is 3

Prime Factorization of 7491


3 7491
11 2497
227 227
1

Prime factors of 7491 are 3,11,227. Prime factorization of 7491 in exponential form is:

7491 = 31×111×2271

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 7491 and 7497 is 3

Greatest Common Factor of 7491 and 7497 by matching factors method

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

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 7491 and 7497. The biggest common factor number is the GCF number.
So the greatest common factor 7491 and 7497 is 3.

Also check out the Least Common Multiple of 7491 and 7497

Properties of GCF 7491 and 7497

(i) The GCF of 7491 and 7497 is associative

GCF of 7491 and 7497 = GCF of 7497 and 7491

Related Greatest Common Factor of 7491

Related Greatest Common Factor of 7497

Frequently Asked Questions on GCF of 7491 and 7497

1. What is the GCF of 7491 and 7497?

Answer: GCF of 7491 and 7497 is 3.

2. What are the Factors of 7491?

Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.

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 7491 and 7497?

Answer:

Greatest Common Factor of 7491 and 7497 = 3

Step 1: Find the prime factorization of 7491

7491 = 3 x 11 x 227

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 = 3

Step 4: Therefore, the greatest common factor of 7491 and 7497 is 3