Greatest Common Factor of 378 and 380

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

Greatest common factor (GCF) of 378 and 380 is 2.

GCF(378,380) = 2

GCF of 378 and 380

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

GCF of:
and

Greatest Common Factor of 378 and 380

GCF of 378 and 380 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 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2,5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

∴ So by taking common prime factors GCF of 378 and 380 is 2

Greatest Common Factor of 378 and 380 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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors and prime factorization of 378 and 380. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 380 is 2.

Also check out the Least Common Multiple of 378 and 380

Properties of GCF 378 and 380

(i) The GCF of 378 and 380 is associative

GCF of 378 and 380 = GCF of 380 and 378

Related Greatest Common Factor of 378

Related Greatest Common Factor of 380

Frequently Asked Questions on GCF of 378 and 380

1. What is the GCF of 378 and 380?

Answer: GCF of 378 and 380 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 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

4. How to Find the GCF of 378 and 380?

Answer:

Greatest Common Factor of 378 and 380 = 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 380

380 = 2 x 2 x 5 x 19

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 380 is 2