Greatest Common Factor of 3174 and 3180

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, 3180 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3174 and 3180 is 6.

GCF(3174,3180) = 6

GCF of 3174 and 3180

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

GCF of:
and

Greatest Common Factor of 3174 and 3180

GCF of 3174 and 3180 is 6

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 3180


2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 3180 are 2,3,5,53. Prime factorization of 3180 in exponential form is:

3180 = 22×31×51×531

∴ So by taking common prime factors GCF of 3174 and 3180 is 6

Greatest Common Factor of 3174 and 3180 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 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Greatest Common Factor

We found the factors and prime factorization of 3174 and 3180. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3180 is 6.

Also check out the Least Common Multiple of 3174 and 3180

Properties of GCF 3174 and 3180

(i) The GCF of 3174 and 3180 is associative

GCF of 3174 and 3180 = GCF of 3180 and 3174

Related Greatest Common Factor of 3174

Related Greatest Common Factor of 3180

Frequently Asked Questions on GCF of 3174 and 3180

1. What is the GCF of 3174 and 3180?

Answer: GCF of 3174 and 3180 is 6.

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 3180?

Answer: Factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180. There are 24 integers that are factors of 3180. The greatest factor of 3180 is 3180.

4. How to Find the GCF of 3174 and 3180?

Answer:

Greatest Common Factor of 3174 and 3180 = 6

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3174 and 3180 is 6