Greatest Common Factor of 363 and 369

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

Greatest common factor (GCF) of 363 and 369 is 3.

GCF(363,369) = 3

GCF of 363 and 369

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

GCF of:
and

Greatest Common Factor of 363 and 369

GCF of 363 and 369 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 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

∴ So by taking common prime factors GCF of 363 and 369 is 3

Greatest Common Factor of 363 and 369 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 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors and prime factorization of 363 and 369. The biggest common factor number is the GCF number.
So the greatest common factor 363 and 369 is 3.

Also check out the Least Common Multiple of 363 and 369

Properties of GCF 363 and 369

(i) The GCF of 363 and 369 is associative

GCF of 363 and 369 = GCF of 369 and 363

Related Greatest Common Factor of 363

Related Greatest Common Factor of 369

Frequently Asked Questions on GCF of 363 and 369

1. What is the GCF of 363 and 369?

Answer: GCF of 363 and 369 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 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

4. How to Find the GCF of 363 and 369?

Answer:

Greatest Common Factor of 363 and 369 = 3

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

Step 2: Find the prime factorization of 369

369 = 3 x 3 x 41

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 369 is 3