Greatest Common Factor of 170 and 175

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, 175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 170 and 175 is 5.

GCF(170,175) = 5

GCF of 170 and 175

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

GCF of:
and

Greatest Common Factor of 170 and 175

GCF of 170 and 175 is 5

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 175


5 175
5 35
7 7
1

Prime factors of 175 are 5,7. Prime factorization of 175 in exponential form is:

175 = 52×71

∴ So by taking common prime factors GCF of 170 and 175 is 5

Greatest Common Factor of 170 and 175 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 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors and prime factorization of 170 and 175. The biggest common factor number is the GCF number.
So the greatest common factor 170 and 175 is 5.

Also check out the Least Common Multiple of 170 and 175

Properties of GCF 170 and 175

(i) The GCF of 170 and 175 is associative

GCF of 170 and 175 = GCF of 175 and 170

Related Greatest Common Factor of 170

Related Greatest Common Factor of 175

Frequently Asked Questions on GCF of 170 and 175

1. What is the GCF of 170 and 175?

Answer: GCF of 170 and 175 is 5.

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 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

4. How to Find the GCF of 170 and 175?

Answer:

Greatest Common Factor of 170 and 175 = 5

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 175

175 = 5 x 5 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 170 and 175 is 5