Greatest Common Factor of 378 and 385

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, 385 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 378 and 385 is 7.

GCF(378,385) = 7

GCF of 378 and 385

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

GCF of:
and

Greatest Common Factor of 378 and 385

GCF of 378 and 385 is 7

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 385


5 385
7 77
11 11
1

Prime factors of 385 are 5,7,11. Prime factorization of 385 in exponential form is:

385 = 51×71×111

∴ So by taking common prime factors GCF of 378 and 385 is 7

Greatest Common Factor of 378 and 385 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 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors and prime factorization of 378 and 385. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 385 is 7.

Also check out the Least Common Multiple of 378 and 385

Properties of GCF 378 and 385

(i) The GCF of 378 and 385 is associative

GCF of 378 and 385 = GCF of 385 and 378

Related Greatest Common Factor of 378

Related Greatest Common Factor of 385

Frequently Asked Questions on GCF of 378 and 385

1. What is the GCF of 378 and 385?

Answer: GCF of 378 and 385 is 7.

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 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

4. How to Find the GCF of 378 and 385?

Answer:

Greatest Common Factor of 378 and 385 = 7

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 385

385 = 5 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 378 and 385 is 7