Greatest Common Factor of 182 and 183

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

Greatest common factor (GCF) of 182 and 183 is 1.

GCF(182,183) = 1

GCF of 182 and 183

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

GCF of:
and

Greatest Common Factor of 182 and 183

GCF of 182 and 183 is 1

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 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

∴ So by taking common prime factors GCF of 182 and 183 is 1

Greatest Common Factor of 182 and 183 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 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors and prime factorization of 182 and 183. The biggest common factor number is the GCF number.
So the greatest common factor 182 and 183 is 1.

Also check out the Least Common Multiple of 182 and 183

Properties of GCF 182 and 183

(i) The GCF of 182 and 183 is associative

GCF of 182 and 183 = GCF of 183 and 182

Related Greatest Common Factor of 182

Related Greatest Common Factor of 183

Frequently Asked Questions on GCF of 182 and 183

1. What is the GCF of 182 and 183?

Answer: GCF of 182 and 183 is 1.

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 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the GCF of 182 and 183?

Answer:

Greatest Common Factor of 182 and 183 = 1

Step 1: Find the prime factorization of 182

182 = 2 x 7 x 13

Step 2: Find the prime factorization of 183

183 = 3 x 61

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 182 and 183 is 1