Greatest Common Factor of 179 and 184

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 179, 184 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 179 and 184 is 1.

GCF(179,184) = 1

GCF of 179 and 184

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

GCF of:
and

Greatest Common Factor of 179 and 184

GCF of 179 and 184 is 1

Prime Factorization of 179


179 179
1

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

179 = 1791

Prime Factorization of 184


2 184
2 92
2 46
23 23
1

Prime factors of 184 are 2.Prime factorization of 184 in exponential form is:

184 = 23×231

∴ So by taking common prime factors GCF of 179 and 184 is 1

Greatest Common Factor of 179 and 184 by matching factors method

Factors of 179

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

1,179

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors and prime factorization of 179 and 184. The biggest common factor number is the GCF number.
So the greatest common factor 179 and 184 is 1.

Also check out the Least Common Multiple of 179 and 184

Properties of GCF 179 and 184

(i) The GCF of 179 and 184 is associative

GCF of 179 and 184 = GCF of 184 and 179

Frequently Asked Questions on GCF of 179 and 184

1. What is the GCF of 179 and 184?

Answer: GCF of 179 and 184 is 1.

2. 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.

3. What are the Factors of 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

4. How to Find the GCF of 179 and 184?

Answer:

Greatest Common Factor of 179 and 184 = 1

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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 179 and 184 is 1