Greatest Common Factor of 369 and 376

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

Greatest common factor (GCF) of 369 and 376 is 1.

GCF(369,376) = 1

GCF of 369 and 376

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

GCF of:
and

Greatest Common Factor of 369 and 376

GCF of 369 and 376 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 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

∴ So by taking common prime factors GCF of 369 and 376 is 1

Greatest Common Factor of 369 and 376 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 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors and prime factorization of 369 and 376. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 376 is 1.

Also check out the Least Common Multiple of 369 and 376

Properties of GCF 369 and 376

(i) The GCF of 369 and 376 is associative

GCF of 369 and 376 = GCF of 376 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 376

Frequently Asked Questions on GCF of 369 and 376

1. What is the GCF of 369 and 376?

Answer: GCF of 369 and 376 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 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

4. How to Find the GCF of 369 and 376?

Answer:

Greatest Common Factor of 369 and 376 = 1

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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 376 is 1