Greatest Common Factor of 378 and 381

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 378, 381 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 378 and 381 is 3.

GCF(378,381) = 3

GCF of 378 and 381

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

GCF of:
and

Greatest Common Factor of 378 and 381

GCF of 378 and 381 is 3

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

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

∴ So by taking common prime factors GCF of 378 and 381 is 3

Greatest Common Factor of 378 and 381 by matching factors method

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

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors and prime factorization of 378 and 381. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 381 is 3.

Also check out the Least Common Multiple of 378 and 381

Properties of GCF 378 and 381

(i) The GCF of 378 and 381 is associative

GCF of 378 and 381 = GCF of 381 and 378

Related Greatest Common Factor of 378

Related Greatest Common Factor of 381

Frequently Asked Questions on GCF of 378 and 381

1. What is the GCF of 378 and 381?

Answer: GCF of 378 and 381 is 3.

2. 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.

3. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

4. How to Find the GCF of 378 and 381?

Answer:

Greatest Common Factor of 378 and 381 = 3

Step 1: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 381

381 = 3 x 127

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 378 and 381 is 3