Greatest Common Factor of 392 and 398

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

Greatest common factor (GCF) of 392 and 398 is 2.

GCF(392,398) = 2

GCF of 392 and 398

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

GCF of:
and

Greatest Common Factor of 392 and 398

GCF of 392 and 398 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 398


2 398
199 199
1

Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:

398 = 21×1991

∴ So by taking common prime factors GCF of 392 and 398 is 2

Greatest Common Factor of 392 and 398 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors and prime factorization of 392 and 398. The biggest common factor number is the GCF number.
So the greatest common factor 392 and 398 is 2.

Also check out the Least Common Multiple of 392 and 398

Properties of GCF 392 and 398

(i) The GCF of 392 and 398 is associative

GCF of 392 and 398 = GCF of 398 and 392

Related Greatest Common Factor of 392

Related Greatest Common Factor of 398

Frequently Asked Questions on GCF of 392 and 398

1. What is the GCF of 392 and 398?

Answer: GCF of 392 and 398 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 398?

Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.

4. How to Find the GCF of 392 and 398?

Answer:

Greatest Common Factor of 392 and 398 = 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 398

398 = 2 x 199

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 398 is 2