Greatest Common Factor of 182 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 182, 184 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 182 and 184 is 2.

GCF(182,184) = 2

GCF of 182 and 184

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

GCF of:
and

Greatest Common Factor of 182 and 184

GCF of 182 and 184 is 2

Prime Factorization of 182


2 182
7 91
13 13
1

Prime factors of 182 are 2,7,13. Prime factorization of 182 in exponential form is:

182 = 21×71×131

Prime Factorization of 184


2 184
2 92
2 46
23 23
1

Prime factors of 184 are 2,23. Prime factorization of 184 in exponential form is:

184 = 23×231

∴ So by taking common prime factors GCF of 182 and 184 is 2

Greatest Common Factor of 182 and 184 by matching factors method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

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 182 and 184. The biggest common factor number is the GCF number.
So the greatest common factor 182 and 184 is 2.

Also check out the Least Common Multiple of 182 and 184

Properties of GCF 182 and 184

(i) The GCF of 182 and 184 is associative

GCF of 182 and 184 = GCF of 184 and 182

Related Greatest Common Factor of 182

Related Greatest Common Factor of 184

Frequently Asked Questions on GCF of 182 and 184

1. What is the GCF of 182 and 184?

Answer: GCF of 182 and 184 is 2.

2. What are the Factors of 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

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 182 and 184?

Answer:

Greatest Common Factor of 182 and 184 = 2

Step 1: Find the prime factorization of 182

182 = 2 x 7 x 13

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 = 2

Step 4: Therefore, the greatest common factor of 182 and 184 is 2