Greatest Common Factor of 3162 and 3170

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 3162, 3170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3162 and 3170 is 2.

GCF(3162,3170) = 2

GCF of 3162 and 3170

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

GCF of:
and

Greatest Common Factor of 3162 and 3170

GCF of 3162 and 3170 is 2

Prime Factorization of 3162


2 3162
3 1581
17 527
31 31
1

Prime factors of 3162 are 2,3,17,31. Prime factorization of 3162 in exponential form is:

3162 = 21×31×171×311

Prime Factorization of 3170


2 3170
5 1585
317 317
1

Prime factors of 3170 are 2,5,317. Prime factorization of 3170 in exponential form is:

3170 = 21×51×3171

∴ So by taking common prime factors GCF of 3162 and 3170 is 2

Greatest Common Factor of 3162 and 3170 by matching factors method

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1,2,5,10,317,634,1585,3170

Greatest Common Factor

We found the factors and prime factorization of 3162 and 3170. The biggest common factor number is the GCF number.
So the greatest common factor 3162 and 3170 is 2.

Also check out the Least Common Multiple of 3162 and 3170

Properties of GCF 3162 and 3170

(i) The GCF of 3162 and 3170 is associative

GCF of 3162 and 3170 = GCF of 3170 and 3162

Related Greatest Common Factor of 3162

Related Greatest Common Factor of 3170

Frequently Asked Questions on GCF of 3162 and 3170

1. What is the GCF of 3162 and 3170?

Answer: GCF of 3162 and 3170 is 2.

2. What are the Factors of 3162?

Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.

3. What are the Factors of 3170?

Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.

4. How to Find the GCF of 3162 and 3170?

Answer:

Greatest Common Factor of 3162 and 3170 = 2

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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 3162 and 3170 is 2