Greatest Common Factor of 3171 and 3175

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, 3175 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3171 and 3175 is 1.

GCF(3171,3175) = 1

GCF of 3171 and 3175

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

GCF of:
and

Greatest Common Factor of 3171 and 3175

GCF of 3171 and 3175 is 1

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 3175


5 3175
5 635
127 127
1

Prime factors of 3175 are 5,127. Prime factorization of 3175 in exponential form is:

3175 = 52×1271

∴ So by taking common prime factors GCF of 3171 and 3175 is 1

Greatest Common Factor of 3171 and 3175 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 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1,5,25,127,635,3175

Greatest Common Factor

We found the factors and prime factorization of 3171 and 3175. The biggest common factor number is the GCF number.
So the greatest common factor 3171 and 3175 is 1.

Also check out the Least Common Multiple of 3171 and 3175

Properties of GCF 3171 and 3175

(i) The GCF of 3171 and 3175 is associative

GCF of 3171 and 3175 = GCF of 3175 and 3171

Related Greatest Common Factor of 3171

Related Greatest Common Factor of 3175

Frequently Asked Questions on GCF of 3171 and 3175

1. What is the GCF of 3171 and 3175?

Answer: GCF of 3171 and 3175 is 1.

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 3175?

Answer: Factors of 3175 are 1, 5, 25, 127, 635, 3175. There are 6 integers that are factors of 3175. The greatest factor of 3175 is 3175.

4. How to Find the GCF of 3171 and 3175?

Answer:

Greatest Common Factor of 3171 and 3175 = 1

Step 1: Find the prime factorization of 3171

3171 = 3 x 7 x 151

Step 2: Find the prime factorization of 3175

3175 = 5 x 5 x 127

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 3171 and 3175 is 1