Greatest Common Factor of 392 and 399

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 392, 399 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 392 and 399 is 7.

GCF(392,399) = 7

GCF of 392 and 399

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

GCF of:
and

Greatest Common Factor of 392 and 399

GCF of 392 and 399 is 7

Prime Factorization of 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Prime Factorization of 399


3 399
7 133
19 19
1

Prime factors of 399 are 3,7,19. Prime factorization of 399 in exponential form is:

399 = 31×71×191

∴ So by taking common prime factors GCF of 392 and 399 is 7

Greatest Common Factor of 392 and 399 by matching factors method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors and prime factorization of 392 and 399. The biggest common factor number is the GCF number.
So the greatest common factor 392 and 399 is 7.

Also check out the Least Common Multiple of 392 and 399

Properties of GCF 392 and 399

(i) The GCF of 392 and 399 is associative

GCF of 392 and 399 = GCF of 399 and 392

Related Greatest Common Factor of 392

Related Greatest Common Factor of 399

Frequently Asked Questions on GCF of 392 and 399

1. What is the GCF of 392 and 399?

Answer: GCF of 392 and 399 is 7.

2. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

3. What are the Factors of 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

4. How to Find the GCF of 392 and 399?

Answer:

Greatest Common Factor of 392 and 399 = 7

Step 1: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 399

399 = 3 x 7 x 19

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 392 and 399 is 7