Greatest Common Factor of 369 and 370

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

Greatest common factor (GCF) of 369 and 370 is 1.

GCF(369,370) = 1

GCF of 369 and 370

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

GCF of:
and

Greatest Common Factor of 369 and 370

GCF of 369 and 370 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 370


2 370
5 185
37 37
1

Prime factors of 370 are 2,5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

∴ So by taking common prime factors GCF of 369 and 370 is 1

Greatest Common Factor of 369 and 370 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 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors and prime factorization of 369 and 370. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 370 is 1.

Also check out the Least Common Multiple of 369 and 370

Properties of GCF 369 and 370

(i) The GCF of 369 and 370 is associative

GCF of 369 and 370 = GCF of 370 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 370

Frequently Asked Questions on GCF of 369 and 370

1. What is the GCF of 369 and 370?

Answer: GCF of 369 and 370 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 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

4. How to Find the GCF of 369 and 370?

Answer:

Greatest Common Factor of 369 and 370 = 1

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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 370 is 1