Greatest Common Factor of 174 and 179

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 174, 179 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 174 and 179 is 1.

GCF(174,179) = 1

GCF of 174 and 179

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

GCF of:
and

Greatest Common Factor of 174 and 179

GCF of 174 and 179 is 1

Prime Factorization of 174


2 174
3 87
29 29
1

Prime factors of 174 are 2,3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

Prime Factorization of 179


179 179
1

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

∴ So by taking common prime factors GCF of 174 and 179 is 1

Greatest Common Factor of 174 and 179 by matching factors method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors and prime factorization of 174 and 179. The biggest common factor number is the GCF number.
So the greatest common factor 174 and 179 is 1.

Also check out the Least Common Multiple of 174 and 179

Properties of GCF 174 and 179

(i) The GCF of 174 and 179 is associative

GCF of 174 and 179 = GCF of 179 and 174

Related Greatest Common Factor of 174

Related Greatest Common Factor of 179

Frequently Asked Questions on GCF of 174 and 179

1. What is the GCF of 174 and 179?

Answer: GCF of 174 and 179 is 1.

2. What are the Factors of 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

3. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

4. How to Find the GCF of 174 and 179?

Answer:

Greatest Common Factor of 174 and 179 = 1

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 179

179 = 179

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 174 and 179 is 1