Greatest Common Factor of 3171 and 3178

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 3171, 3178 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3171 and 3178 is 7.

GCF(3171,3178) = 7

GCF of 3171 and 3178

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

GCF of:
and

Greatest Common Factor of 3171 and 3178

GCF of 3171 and 3178 is 7

Prime Factorization of 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3,7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

Prime Factorization of 3178


2 3178
7 1589
227 227
1

Prime factors of 3178 are 2,7,227. Prime factorization of 3178 in exponential form is:

3178 = 21×71×2271

∴ So by taking common prime factors GCF of 3171 and 3178 is 7

Greatest Common Factor of 3171 and 3178 by matching factors method

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

Factors of 3178

List of positive integer factors of 3178 that divides 3178 without a remainder.

1,2,7,14,227,454,1589,3178

Greatest Common Factor

We found the factors and prime factorization of 3171 and 3178. The biggest common factor number is the GCF number.
So the greatest common factor 3171 and 3178 is 7.

Also check out the Least Common Multiple of 3171 and 3178

Properties of GCF 3171 and 3178

(i) The GCF of 3171 and 3178 is associative

GCF of 3171 and 3178 = GCF of 3178 and 3171

Related Greatest Common Factor of 3171

Related Greatest Common Factor of 3178

Frequently Asked Questions on GCF of 3171 and 3178

1. What is the GCF of 3171 and 3178?

Answer: GCF of 3171 and 3178 is 7.

2. What are the Factors of 3171?

Answer: Factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171. There are 8 integers that are factors of 3171. The greatest factor of 3171 is 3171.

3. What are the Factors of 3178?

Answer: Factors of 3178 are 1, 2, 7, 14, 227, 454, 1589, 3178. There are 8 integers that are factors of 3178. The greatest factor of 3178 is 3178.

4. How to Find the GCF of 3171 and 3178?

Answer:

Greatest Common Factor of 3171 and 3178 = 7

Step 1: Find the prime factorization of 3171

3171 = 3 x 7 x 151

Step 2: Find the prime factorization of 3178

3178 = 2 x 7 x 227

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 3171 and 3178 is 7