Greatest Common Factor of 369 and 375

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

Greatest common factor (GCF) of 369 and 375 is 3.

GCF(369,375) = 3

GCF of 369 and 375

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

GCF of:
and

Greatest Common Factor of 369 and 375

GCF of 369 and 375 is 3

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 375


3 375
5 125
5 25
5 5
1

Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:

375 = 31×53

∴ So by taking common prime factors GCF of 369 and 375 is 3

Greatest Common Factor of 369 and 375 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 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors and prime factorization of 369 and 375. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 375 is 3.

Also check out the Least Common Multiple of 369 and 375

Properties of GCF 369 and 375

(i) The GCF of 369 and 375 is associative

GCF of 369 and 375 = GCF of 375 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 375

Frequently Asked Questions on GCF of 369 and 375

1. What is the GCF of 369 and 375?

Answer: GCF of 369 and 375 is 3.

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 375?

Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.

4. How to Find the GCF of 369 and 375?

Answer:

Greatest Common Factor of 369 and 375 = 3

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

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 369 and 375 is 3