Greatest Common Factor of 7174 and 7178

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, 7178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7174 and 7178 is 2.

GCF(7174,7178) = 2

GCF of 7174 and 7178

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

GCF of:
and

Greatest Common Factor of 7174 and 7178

GCF of 7174 and 7178 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 7178


2 7178
37 3589
97 97
1

Prime factors of 7178 are 2,37,97. Prime factorization of 7178 in exponential form is:

7178 = 21×371×971

∴ So by taking common prime factors GCF of 7174 and 7178 is 2

Greatest Common Factor of 7174 and 7178 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 7178

List of positive integer factors of 7178 that divides 7178 without a remainder.

1,2,37,74,97,194,3589,7178

Greatest Common Factor

We found the factors and prime factorization of 7174 and 7178. The biggest common factor number is the GCF number.
So the greatest common factor 7174 and 7178 is 2.

Also check out the Least Common Multiple of 7174 and 7178

Properties of GCF 7174 and 7178

(i) The GCF of 7174 and 7178 is associative

GCF of 7174 and 7178 = GCF of 7178 and 7174

Related Greatest Common Factor of 7174

Related Greatest Common Factor of 7178

Frequently Asked Questions on GCF of 7174 and 7178

1. What is the GCF of 7174 and 7178?

Answer: GCF of 7174 and 7178 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 7178?

Answer: Factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178. There are 8 integers that are factors of 7178. The greatest factor of 7178 is 7178.

4. How to Find the GCF of 7174 and 7178?

Answer:

Greatest Common Factor of 7174 and 7178 = 2

Step 1: Find the prime factorization of 7174

7174 = 2 x 17 x 211

Step 2: Find the prime factorization of 7178

7178 = 2 x 37 x 97

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 7178 is 2