Greatest Common Factor of 3174 and 3182

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, 3182 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3174 and 3182 is 2.

GCF(3174,3182) = 2

GCF of 3174 and 3182

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

GCF of:
and

Greatest Common Factor of 3174 and 3182

GCF of 3174 and 3182 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 3182


2 3182
37 1591
43 43
1

Prime factors of 3182 are 2,37,43. Prime factorization of 3182 in exponential form is:

3182 = 21×371×431

∴ So by taking common prime factors GCF of 3174 and 3182 is 2

Greatest Common Factor of 3174 and 3182 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 3182

List of positive integer factors of 3182 that divides 3182 without a remainder.

1,2,37,43,74,86,1591,3182

Greatest Common Factor

We found the factors and prime factorization of 3174 and 3182. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3182 is 2.

Also check out the Least Common Multiple of 3174 and 3182

Properties of GCF 3174 and 3182

(i) The GCF of 3174 and 3182 is associative

GCF of 3174 and 3182 = GCF of 3182 and 3174

Related Greatest Common Factor of 3174

Related Greatest Common Factor of 3182

Frequently Asked Questions on GCF of 3174 and 3182

1. What is the GCF of 3174 and 3182?

Answer: GCF of 3174 and 3182 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 3182?

Answer: Factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182. There are 8 integers that are factors of 3182. The greatest factor of 3182 is 3182.

4. How to Find the GCF of 3174 and 3182?

Answer:

Greatest Common Factor of 3174 and 3182 = 2

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 3182

3182 = 2 x 37 x 43

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 3182 is 2