Greatest Common Factor of 3172 and 3174

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 3172, 3174 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3172 and 3174 is 2.

GCF(3172,3174) = 2

GCF of 3172 and 3174

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

GCF of:
and

Greatest Common Factor of 3172 and 3174

GCF of 3172 and 3174 is 2

Prime Factorization of 3172


2 3172
2 1586
13 793
61 61
1

Prime factors of 3172 are 2,13,61. Prime factorization of 3172 in exponential form is:

3172 = 22×131×611

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

∴ So by taking common prime factors GCF of 3172 and 3174 is 2

Greatest Common Factor of 3172 and 3174 by matching factors method

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

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

Greatest Common Factor

We found the factors and prime factorization of 3172 and 3174. The biggest common factor number is the GCF number.
So the greatest common factor 3172 and 3174 is 2.

Also check out the Least Common Multiple of 3172 and 3174

Properties of GCF 3172 and 3174

(i) The GCF of 3172 and 3174 is associative

GCF of 3172 and 3174 = GCF of 3174 and 3172

Related Greatest Common Factor of 3172

Related Greatest Common Factor of 3174

Frequently Asked Questions on GCF of 3172 and 3174

1. What is the GCF of 3172 and 3174?

Answer: GCF of 3172 and 3174 is 2.

2. What are the Factors of 3172?

Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.

3. 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.

4. How to Find the GCF of 3172 and 3174?

Answer:

Greatest Common Factor of 3172 and 3174 = 2

Step 1: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

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 3172 and 3174 is 2