Greatest Common Factor of 170 and 172

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 170, 172 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 170 and 172 is 2.

GCF(170,172) = 2

GCF of 170 and 172

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

GCF of:
and

Greatest Common Factor of 170 and 172

GCF of 170 and 172 is 2

Prime Factorization of 170


2 170
5 85
17 17
1

Prime factors of 170 are 2,5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

Prime Factorization of 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

∴ So by taking common prime factors GCF of 170 and 172 is 2

Greatest Common Factor of 170 and 172 by matching factors method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors and prime factorization of 170 and 172. The biggest common factor number is the GCF number.
So the greatest common factor 170 and 172 is 2.

Also check out the Least Common Multiple of 170 and 172

Properties of GCF 170 and 172

(i) The GCF of 170 and 172 is associative

GCF of 170 and 172 = GCF of 172 and 170

Related Greatest Common Factor of 170

Related Greatest Common Factor of 172

Frequently Asked Questions on GCF of 170 and 172

1. What is the GCF of 170 and 172?

Answer: GCF of 170 and 172 is 2.

2. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

3. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the GCF of 170 and 172?

Answer:

Greatest Common Factor of 170 and 172 = 2

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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 170 and 172 is 2