Greatest Common Factor of 164 and 170

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 164, 170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 164 and 170 is 2.

GCF(164,170) = 2

GCF of 164 and 170

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

GCF of:
and

Greatest Common Factor of 164 and 170

GCF of 164 and 170 is 2

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

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

∴ So by taking common prime factors GCF of 164 and 170 is 2

Greatest Common Factor of 164 and 170 by matching factors method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 170

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

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

Greatest Common Factor

We found the factors and prime factorization of 164 and 170. The biggest common factor number is the GCF number.
So the greatest common factor 164 and 170 is 2.

Also check out the Least Common Multiple of 164 and 170

Properties of GCF 164 and 170

(i) The GCF of 164 and 170 is associative

GCF of 164 and 170 = GCF of 170 and 164

Related Greatest Common Factor of 164

Related Greatest Common Factor of 170

Frequently Asked Questions on GCF of 164 and 170

1. What is the GCF of 164 and 170?

Answer: GCF of 164 and 170 is 2.

2. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

3. 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.

4. How to Find the GCF of 164 and 170?

Answer:

Greatest Common Factor of 164 and 170 = 2

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

Step 2: Find the prime factorization of 170

170 = 2 x 5 x 17

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 164 and 170 is 2