Greatest Common Factor of 12170 and 12172

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 12170, 12172 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12170 and 12172 is 2.

GCF(12170,12172) = 2

GCF of 12170 and 12172

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

GCF of:
and

Greatest Common Factor of 12170 and 12172

GCF of 12170 and 12172 is 2

Prime Factorization of 12170


2 12170
5 6085
1217 1217
1

Prime factors of 12170 are 2,5,1217. Prime factorization of 12170 in exponential form is:

12170 = 21×51×12171

Prime Factorization of 12172


2 12172
2 6086
17 3043
179 179
1

Prime factors of 12172 are 2,17,179. Prime factorization of 12172 in exponential form is:

12172 = 22×171×1791

∴ So by taking common prime factors GCF of 12170 and 12172 is 2

Greatest Common Factor of 12170 and 12172 by matching factors method

Factors of 12170

List of positive integer factors of 12170 that divides 12170 without a remainder.

1,2,5,10,1217,2434,6085,12170

Factors of 12172

List of positive integer factors of 12172 that divides 12172 without a remainder.

1,2,4,17,34,68,179,358,716,3043,6086,12172

Greatest Common Factor

We found the factors and prime factorization of 12170 and 12172. The biggest common factor number is the GCF number.
So the greatest common factor 12170 and 12172 is 2.

Also check out the Least Common Multiple of 12170 and 12172

Properties of GCF 12170 and 12172

(i) The GCF of 12170 and 12172 is associative

GCF of 12170 and 12172 = GCF of 12172 and 12170

Related Greatest Common Factor of 12170

Related Greatest Common Factor of 12172

Frequently Asked Questions on GCF of 12170 and 12172

1. What is the GCF of 12170 and 12172?

Answer: GCF of 12170 and 12172 is 2.

2. What are the Factors of 12170?

Answer: Factors of 12170 are 1, 2, 5, 10, 1217, 2434, 6085, 12170. There are 8 integers that are factors of 12170. The greatest factor of 12170 is 12170.

3. What are the Factors of 12172?

Answer: Factors of 12172 are 1, 2, 4, 17, 34, 68, 179, 358, 716, 3043, 6086, 12172. There are 12 integers that are factors of 12172. The greatest factor of 12172 is 12172.

4. How to Find the GCF of 12170 and 12172?

Answer:

Greatest Common Factor of 12170 and 12172 = 2

Step 1: Find the prime factorization of 12170

12170 = 2 x 5 x 1217

Step 2: Find the prime factorization of 12172

12172 = 2 x 2 x 17 x 179

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 12170 and 12172 is 2