Greatest Common Factor of 378 and 379

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

Greatest common factor (GCF) of 378 and 379 is 1.

GCF(378,379) = 1

GCF of 378 and 379

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

GCF of:
and

Greatest Common Factor of 378 and 379

GCF of 378 and 379 is 1

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 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

∴ So by taking common prime factors GCF of 378 and 379 is 1

Greatest Common Factor of 378 and 379 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 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors and prime factorization of 378 and 379. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 379 is 1.

Also check out the Least Common Multiple of 378 and 379

Properties of GCF 378 and 379

(i) The GCF of 378 and 379 is associative

GCF of 378 and 379 = GCF of 379 and 378

Related Greatest Common Factor of 378

Related Greatest Common Factor of 379

Frequently Asked Questions on GCF of 378 and 379

1. What is the GCF of 378 and 379?

Answer: GCF of 378 and 379 is 1.

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 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

4. How to Find the GCF of 378 and 379?

Answer:

Greatest Common Factor of 378 and 379 = 1

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 379

379 = 379

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 378 and 379 is 1