Greatest Common Factor of 174 and 181

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

Greatest common factor (GCF) of 174 and 181 is 1.

GCF(174,181) = 1

GCF of 174 and 181

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

GCF of:
and

Greatest Common Factor of 174 and 181

GCF of 174 and 181 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 181


181 181
1

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

∴ So by taking common prime factors GCF of 174 and 181 is 1

Greatest Common Factor of 174 and 181 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 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors and prime factorization of 174 and 181. The biggest common factor number is the GCF number.
So the greatest common factor 174 and 181 is 1.

Also check out the Least Common Multiple of 174 and 181

Properties of GCF 174 and 181

(i) The GCF of 174 and 181 is associative

GCF of 174 and 181 = GCF of 181 and 174

Related Greatest Common Factor of 174

Related Greatest Common Factor of 181

Frequently Asked Questions on GCF of 174 and 181

1. What is the GCF of 174 and 181?

Answer: GCF of 174 and 181 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 181?

Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.

4. How to Find the GCF of 174 and 181?

Answer:

Greatest Common Factor of 174 and 181 = 1

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 181

181 = 181

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 181 is 1