Greatest Common Factor of 3171 and 3177

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 3171, 3177 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3171 and 3177 is 3.

GCF(3171,3177) = 3

GCF of 3171 and 3177

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

GCF of:
and

Greatest Common Factor of 3171 and 3177

GCF of 3171 and 3177 is 3

Prime Factorization of 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3,7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

Prime Factorization of 3177


3 3177
3 1059
353 353
1

Prime factors of 3177 are 3,353. Prime factorization of 3177 in exponential form is:

3177 = 32×3531

∴ So by taking common prime factors GCF of 3171 and 3177 is 3

Greatest Common Factor of 3171 and 3177 by matching factors method

Factors of 3171

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

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

Factors of 3177

List of positive integer factors of 3177 that divides 3177 without a remainder.

1,3,9,353,1059,3177

Greatest Common Factor

We found the factors and prime factorization of 3171 and 3177. The biggest common factor number is the GCF number.
So the greatest common factor 3171 and 3177 is 3.

Also check out the Least Common Multiple of 3171 and 3177

Properties of GCF 3171 and 3177

(i) The GCF of 3171 and 3177 is associative

GCF of 3171 and 3177 = GCF of 3177 and 3171

Related Greatest Common Factor of 3171

Related Greatest Common Factor of 3177

Frequently Asked Questions on GCF of 3171 and 3177

1. What is the GCF of 3171 and 3177?

Answer: GCF of 3171 and 3177 is 3.

2. 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.

3. What are the Factors of 3177?

Answer: Factors of 3177 are 1, 3, 9, 353, 1059, 3177. There are 6 integers that are factors of 3177. The greatest factor of 3177 is 3177.

4. How to Find the GCF of 3171 and 3177?

Answer:

Greatest Common Factor of 3171 and 3177 = 3

Step 1: Find the prime factorization of 3171

3171 = 3 x 7 x 151

Step 2: Find the prime factorization of 3177

3177 = 3 x 3 x 353

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3171 and 3177 is 3