Greatest Common Factor of 363 and 366

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 363, 366 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 363 and 366 is 3.

GCF(363,366) = 3

GCF of 363 and 366

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

GCF of:
and

Greatest Common Factor of 363 and 366

GCF of 363 and 366 is 3

Prime Factorization of 363


3 363
11 121
11 11
1

Prime factors of 363 are 3,11. Prime factorization of 363 in exponential form is:

363 = 31×112

Prime Factorization of 366


2 366
3 183
61 61
1

Prime factors of 366 are 2,3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

∴ So by taking common prime factors GCF of 363 and 366 is 3

Greatest Common Factor of 363 and 366 by matching factors method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors and prime factorization of 363 and 366. The biggest common factor number is the GCF number.
So the greatest common factor 363 and 366 is 3.

Also check out the Least Common Multiple of 363 and 366

Properties of GCF 363 and 366

(i) The GCF of 363 and 366 is associative

GCF of 363 and 366 = GCF of 366 and 363

Related Greatest Common Factor of 363

Related Greatest Common Factor of 366

Frequently Asked Questions on GCF of 363 and 366

1. What is the GCF of 363 and 366?

Answer: GCF of 363 and 366 is 3.

2. What are the Factors of 363?

Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.

3. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

4. How to Find the GCF of 363 and 366?

Answer:

Greatest Common Factor of 363 and 366 = 3

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 363 and 366 is 3