Greatest Common Factor of 369 and 374

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

Greatest common factor (GCF) of 369 and 374 is 1.

GCF(369,374) = 1

GCF of 369 and 374

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

GCF of:
and

Greatest Common Factor of 369 and 374

GCF of 369 and 374 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 374


2 374
11 187
17 17
1

Prime factors of 374 are 2,11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

∴ So by taking common prime factors GCF of 369 and 374 is 1

Greatest Common Factor of 369 and 374 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 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors and prime factorization of 369 and 374. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 374 is 1.

Also check out the Least Common Multiple of 369 and 374

Properties of GCF 369 and 374

(i) The GCF of 369 and 374 is associative

GCF of 369 and 374 = GCF of 374 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 374

Frequently Asked Questions on GCF of 369 and 374

1. What is the GCF of 369 and 374?

Answer: GCF of 369 and 374 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 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

4. How to Find the GCF of 369 and 374?

Answer:

Greatest Common Factor of 369 and 374 = 1

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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 374 is 1