Greatest Common Factor of 7182 and 7189

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, 7189 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7182 and 7189 is 7.

GCF(7182,7189) = 7

GCF of 7182 and 7189

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

GCF of:
and

Greatest Common Factor of 7182 and 7189

GCF of 7182 and 7189 is 7

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 7189


7 7189
13 1027
79 79
1

Prime factors of 7189 are 7,13,79. Prime factorization of 7189 in exponential form is:

7189 = 71×131×791

∴ So by taking common prime factors GCF of 7182 and 7189 is 7

Greatest Common Factor of 7182 and 7189 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 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1,7,13,79,91,553,1027,7189

Greatest Common Factor

We found the factors and prime factorization of 7182 and 7189. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7189 is 7.

Also check out the Least Common Multiple of 7182 and 7189

Properties of GCF 7182 and 7189

(i) The GCF of 7182 and 7189 is associative

GCF of 7182 and 7189 = GCF of 7189 and 7182

Related Greatest Common Factor of 7182

Related Greatest Common Factor of 7189

Frequently Asked Questions on GCF of 7182 and 7189

1. What is the GCF of 7182 and 7189?

Answer: GCF of 7182 and 7189 is 7.

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 7189?

Answer: Factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189. There are 8 integers that are factors of 7189. The greatest factor of 7189 is 7189.

4. How to Find the GCF of 7182 and 7189?

Answer:

Greatest Common Factor of 7182 and 7189 = 7

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 7189

7189 = 7 x 13 x 79

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 7182 and 7189 is 7