Greatest Common Factor of 382 and 390

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 382, 390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 382 and 390 is 2.

GCF(382,390) = 2

GCF of 382 and 390

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

GCF of:
and

Greatest Common Factor of 382 and 390

GCF of 382 and 390 is 2

Prime Factorization of 382


2 382
191 191
1

Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:

382 = 21×1911

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

∴ So by taking common prime factors GCF of 382 and 390 is 2

Greatest Common Factor of 382 and 390 by matching factors method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

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

Greatest Common Factor

We found the factors and prime factorization of 382 and 390. The biggest common factor number is the GCF number.
So the greatest common factor 382 and 390 is 2.

Also check out the Least Common Multiple of 382 and 390

Properties of GCF 382 and 390

(i) The GCF of 382 and 390 is associative

GCF of 382 and 390 = GCF of 390 and 382

Related Greatest Common Factor of 382

Related Greatest Common Factor of 390

Frequently Asked Questions on GCF of 382 and 390

1. What is the GCF of 382 and 390?

Answer: GCF of 382 and 390 is 2.

2. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

3. 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.

4. How to Find the GCF of 382 and 390?

Answer:

Greatest Common Factor of 382 and 390 = 2

Step 1: Find the prime factorization of 382

382 = 2 x 191

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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 382 and 390 is 2