Greatest Common Factor of 3174 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 3174, 3178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3174 and 3178 is 2.

GCF(3174,3178) = 2

GCF of 3174 and 3178

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

GCF of:
and

Greatest Common Factor of 3174 and 3178

GCF of 3174 and 3178 is 2

Prime Factorization of 3174


2 3174
3 1587
23 529
23 23
1

Prime factors of 3174 are 2,3,23. Prime factorization of 3174 in exponential form is:

3174 = 21×31×232

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 3174 and 3178 is 2

Greatest Common Factor of 3174 and 3178 by matching factors method

Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1,2,3,6,23,46,69,138,529,1058,1587,3174

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 3174 and 3178. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3178 is 2.

Also check out the Least Common Multiple of 3174 and 3178

Properties of GCF 3174 and 3178

(i) The GCF of 3174 and 3178 is associative

GCF of 3174 and 3178 = GCF of 3178 and 3174

Related Greatest Common Factor of 3174

Related Greatest Common Factor of 3178

Frequently Asked Questions on GCF of 3174 and 3178

1. What is the GCF of 3174 and 3178?

Answer: GCF of 3174 and 3178 is 2.

2. What are the Factors of 3174?

Answer: Factors of 3174 are 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174. There are 12 integers that are factors of 3174. The greatest factor of 3174 is 3174.

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 3174 and 3178?

Answer:

Greatest Common Factor of 3174 and 3178 = 2

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

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 = 2

Step 4: Therefore, the greatest common factor of 3174 and 3178 is 2