Greatest Common Factor of 7174 and 7182

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 7174, 7182 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7174 and 7182 is 2.

GCF(7174,7182) = 2

GCF of 7174 and 7182

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

GCF of:
and

Greatest Common Factor of 7174 and 7182

GCF of 7174 and 7182 is 2

Prime Factorization of 7174


2 7174
17 3587
211 211
1

Prime factors of 7174 are 2,17,211. Prime factorization of 7174 in exponential form is:

7174 = 21×171×2111

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

∴ So by taking common prime factors GCF of 7174 and 7182 is 2

Greatest Common Factor of 7174 and 7182 by matching factors method

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

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

Greatest Common Factor

We found the factors and prime factorization of 7174 and 7182. The biggest common factor number is the GCF number.
So the greatest common factor 7174 and 7182 is 2.

Also check out the Least Common Multiple of 7174 and 7182

Properties of GCF 7174 and 7182

(i) The GCF of 7174 and 7182 is associative

GCF of 7174 and 7182 = GCF of 7182 and 7174

Related Greatest Common Factor of 7174

Related Greatest Common Factor of 7182

Frequently Asked Questions on GCF of 7174 and 7182

1. What is the GCF of 7174 and 7182?

Answer: GCF of 7174 and 7182 is 2.

2. What are the Factors of 7174?

Answer: Factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174. There are 8 integers that are factors of 7174. The greatest factor of 7174 is 7174.

3. 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.

4. How to Find the GCF of 7174 and 7182?

Answer:

Greatest Common Factor of 7174 and 7182 = 2

Step 1: Find the prime factorization of 7174

7174 = 2 x 17 x 211

Step 2: Find the prime factorization of 7182

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

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 7174 and 7182 is 2