Greatest Common Factor of 375 and 378

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 375, 378 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 375 and 378 is 3.

GCF(375,378) = 3

GCF of 375 and 378

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

GCF of:
and

Greatest Common Factor of 375 and 378

GCF of 375 and 378 is 3

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

Prime Factorization of 378


2 378
3 189
3 63
3 21
7 7
1

Prime factors of 378 are 2,3,7. Prime factorization of 378 in exponential form is:

378 = 21×33×71

∴ So by taking common prime factors GCF of 375 and 378 is 3

Greatest Common Factor of 375 and 378 by matching factors method

Factors of 375

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

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

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors and prime factorization of 375 and 378. The biggest common factor number is the GCF number.
So the greatest common factor 375 and 378 is 3.

Also check out the Least Common Multiple of 375 and 378

Properties of GCF 375 and 378

(i) The GCF of 375 and 378 is associative

GCF of 375 and 378 = GCF of 378 and 375

Related Greatest Common Factor of 375

Related Greatest Common Factor of 378

Frequently Asked Questions on GCF of 375 and 378

1. What is the GCF of 375 and 378?

Answer: GCF of 375 and 378 is 3.

2. 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.

3. What are the Factors of 378?

Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.

4. How to Find the GCF of 375 and 378?

Answer:

Greatest Common Factor of 375 and 378 = 3

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

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 375 and 378 is 3