Greatest Common Factor of 7182 and 7190

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 7182, 7190 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7182 and 7190 is 2.

GCF(7182,7190) = 2

GCF of 7182 and 7190

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

GCF of:
and

Greatest Common Factor of 7182 and 7190

GCF of 7182 and 7190 is 2

Prime Factorization of 7182


2 7182
3 3591
3 1197
3 399
7 133
19 19
1

Prime factors of 7182 are 2,3,7,19. Prime factorization of 7182 in exponential form is:

7182 = 21×33×71×191

Prime Factorization of 7190


2 7190
5 3595
719 719
1

Prime factors of 7190 are 2,5,719. Prime factorization of 7190 in exponential form is:

7190 = 21×51×7191

∴ So by taking common prime factors GCF of 7182 and 7190 is 2

Greatest Common Factor of 7182 and 7190 by matching factors method

Factors of 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Greatest Common Factor

We found the factors and prime factorization of 7182 and 7190. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7190 is 2.

Also check out the Least Common Multiple of 7182 and 7190

Properties of GCF 7182 and 7190

(i) The GCF of 7182 and 7190 is associative

GCF of 7182 and 7190 = GCF of 7190 and 7182

Related Greatest Common Factor of 7182

Related Greatest Common Factor of 7190

Frequently Asked Questions on GCF of 7182 and 7190

1. What is the GCF of 7182 and 7190?

Answer: GCF of 7182 and 7190 is 2.

2. What are the Factors of 7182?

Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.

3. What are the Factors of 7190?

Answer: Factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190. There are 8 integers that are factors of 7190. The greatest factor of 7190 is 7190.

4. How to Find the GCF of 7182 and 7190?

Answer:

Greatest Common Factor of 7182 and 7190 = 2

Step 1: Find the prime factorization of 7182

7182 = 2 x 3 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 7190

7190 = 2 x 5 x 719

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 7182 and 7190 is 2