Greatest Common Factor of 369 and 372

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

Greatest common factor (GCF) of 369 and 372 is 3.

GCF(369,372) = 3

GCF of 369 and 372

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

GCF of:
and

Greatest Common Factor of 369 and 372

GCF of 369 and 372 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 372


2 372
2 186
3 93
31 31
1

Prime factors of 372 are 2,3,31. Prime factorization of 372 in exponential form is:

372 = 22×31×311

∴ So by taking common prime factors GCF of 369 and 372 is 3

Greatest Common Factor of 369 and 372 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 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors and prime factorization of 369 and 372. The biggest common factor number is the GCF number.
So the greatest common factor 369 and 372 is 3.

Also check out the Least Common Multiple of 369 and 372

Properties of GCF 369 and 372

(i) The GCF of 369 and 372 is associative

GCF of 369 and 372 = GCF of 372 and 369

Related Greatest Common Factor of 369

Related Greatest Common Factor of 372

Frequently Asked Questions on GCF of 369 and 372

1. What is the GCF of 369 and 372?

Answer: GCF of 369 and 372 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 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

4. How to Find the GCF of 369 and 372?

Answer:

Greatest Common Factor of 369 and 372 = 3

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

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 372 is 3