Greatest Common Factor of 369 and 377

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 369, 377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 369 and 377 is 1.

GCF(369,377) = 1

GCF of 369 and 377

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

GCF of:
and

Greatest Common Factor of 369 and 377

GCF of 369 and 377 is 1

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

Prime Factorization of 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

∴ So by taking common prime factors GCF of 369 and 377 is 1

Greatest Common Factor of 369 and 377 by matching factors method

Factors of 369

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

1,3,9,41,123,369

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors and prime factorization of 369 and 377. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 377 is 1.

Also check out the Least Common Multiple of 369 and 377

Properties of GCF 369 and 377

(i) The GCF of 369 and 377 is associative

GCF of 369 and 377 = GCF of 377 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 377

Frequently Asked Questions on GCF of 369 and 377

1. What is the GCF of 369 and 377?

Answer: GCF of 369 and 377 is 1.

2. 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.

3. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

4. How to Find the GCF of 369 and 377?

Answer:

Greatest Common Factor of 369 and 377 = 1

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 377

377 = 13 x 29

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 369 and 377 is 1