Greatest Common Factor of 378 and 386

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, 386 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 378 and 386 is 2.

GCF(378,386) = 2

GCF of 378 and 386

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

GCF of:
and

Greatest Common Factor of 378 and 386

GCF of 378 and 386 is 2

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 386


2 386
193 193
1

Prime factors of 386 are 2,193. Prime factorization of 386 in exponential form is:

386 = 21×1931

∴ So by taking common prime factors GCF of 378 and 386 is 2

Greatest Common Factor of 378 and 386 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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors and prime factorization of 378 and 386. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 386 is 2.

Also check out the Least Common Multiple of 378 and 386

Properties of GCF 378 and 386

(i) The GCF of 378 and 386 is associative

GCF of 378 and 386 = GCF of 386 and 378

Related Greatest Common Factor of 378

Related Greatest Common Factor of 386

Frequently Asked Questions on GCF of 378 and 386

1. What is the GCF of 378 and 386?

Answer: GCF of 378 and 386 is 2.

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 386?

Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.

4. How to Find the GCF of 378 and 386?

Answer:

Greatest Common Factor of 378 and 386 = 2

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 386

386 = 2 x 193

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 378 and 386 is 2