Greatest Common Factor of 392 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 392, 394 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 392 and 394 is 2.

GCF(392,394) = 2

GCF of 392 and 394

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

GCF of:
and

Greatest Common Factor of 392 and 394

GCF of 392 and 394 is 2

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 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 392 and 394 is 2

Greatest Common Factor of 392 and 394 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 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 392 and 394. The biggest common factor number is the GCF number.
So the greatest common factor 392 and 394 is 2.

Also check out the Least Common Multiple of 392 and 394

Properties of GCF 392 and 394

(i) The GCF of 392 and 394 is associative

GCF of 392 and 394 = GCF of 394 and 392

Related Greatest Common Factor of 392

Related Greatest Common Factor of 394

Frequently Asked Questions on GCF of 392 and 394

1. What is the GCF of 392 and 394?

Answer: GCF of 392 and 394 is 2.

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 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 392 and 394?

Answer:

Greatest Common Factor of 392 and 394 = 2

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 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 392 and 394 is 2