Greatest Common Factor of 390 and 394

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 390, 394 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 390 and 394 is 2.

GCF(390,394) = 2

GCF of 390 and 394

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

GCF of:
and

Greatest Common Factor of 390 and 394

GCF of 390 and 394 is 2

Prime Factorization of 390


2 390
3 195
5 65
13 13
1

Prime factors of 390 are 2,3,5,13. Prime factorization of 390 in exponential form is:

390 = 21×31×51×131

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

∴ So by taking common prime factors GCF of 390 and 394 is 2

Greatest Common Factor of 390 and 394 by matching factors method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors and prime factorization of 390 and 394. The biggest common factor number is the GCF number.
So the greatest common factor 390 and 394 is 2.

Also check out the Least Common Multiple of 390 and 394

Properties of GCF 390 and 394

(i) The GCF of 390 and 394 is associative

GCF of 390 and 394 = GCF of 394 and 390

Related Greatest Common Factor of 390

Related Greatest Common Factor of 394

Frequently Asked Questions on GCF of 390 and 394

1. What is the GCF of 390 and 394?

Answer: GCF of 390 and 394 is 2.

2. What are the Factors of 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

3. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

4. How to Find the GCF of 390 and 394?

Answer:

Greatest Common Factor of 390 and 394 = 2

Step 1: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 394

394 = 2 x 197

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 390 and 394 is 2