Greatest Common Factor of 3167 and 3171

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 3167, 3171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3167 and 3171 is 1.

GCF(3167,3171) = 1

GCF of 3167 and 3171

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

GCF of:
and

Greatest Common Factor of 3167 and 3171

GCF of 3167 and 3171 is 1

Prime Factorization of 3167


3167 3167
1

Prime factors of 3167 are 3167. Prime factorization of 3167 in exponential form is:

3167 = 31671

Prime Factorization of 3171


3 3171
7 1057
151 151
1

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

3171 = 31×71×1511

∴ So by taking common prime factors GCF of 3167 and 3171 is 1

Greatest Common Factor of 3167 and 3171 by matching factors method

Factors of 3167

List of positive integer factors of 3167 that divides 3167 without a remainder.

1,3167

Factors of 3171

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

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

Greatest Common Factor

We found the factors and prime factorization of 3167 and 3171. The biggest common factor number is the GCF number.
So the greatest common factor 3167 and 3171 is 1.

Also check out the Least Common Multiple of 3167 and 3171

Properties of GCF 3167 and 3171

(i) The GCF of 3167 and 3171 is associative

GCF of 3167 and 3171 = GCF of 3171 and 3167

Frequently Asked Questions on GCF of 3167 and 3171

1. What is the GCF of 3167 and 3171?

Answer: GCF of 3167 and 3171 is 1.

2. What are the Factors of 3167?

Answer: Factors of 3167 are 1, 3167. There are 2 integers that are factors of 3167. The greatest factor of 3167 is 3167.

3. 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.

4. How to Find the GCF of 3167 and 3171?

Answer:

Greatest Common Factor of 3167 and 3171 = 1

Step 1: Find the prime factorization of 3167

3167 = 3167

Step 2: Find the prime factorization of 3171

3171 = 3 x 7 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3167 and 3171 is 1