Greatest Common Factor of 393 and 397

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 393, 397 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 393 and 397 is 1.

GCF(393,397) = 1

GCF of 393 and 397

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

GCF of:
and

Greatest Common Factor of 393 and 397

GCF of 393 and 397 is 1

Prime Factorization of 393


3 393
131 131
1

Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:

393 = 31×1311

Prime Factorization of 397


397 397
1

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

∴ So by taking common prime factors GCF of 393 and 397 is 1

Greatest Common Factor of 393 and 397 by matching factors method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors and prime factorization of 393 and 397. The biggest common factor number is the GCF number.
So the greatest common factor 393 and 397 is 1.

Also check out the Least Common Multiple of 393 and 397

Properties of GCF 393 and 397

(i) The GCF of 393 and 397 is associative

GCF of 393 and 397 = GCF of 397 and 393

Related Greatest Common Factor of 393

Related Greatest Common Factor of 397

Frequently Asked Questions on GCF of 393 and 397

1. What is the GCF of 393 and 397?

Answer: GCF of 393 and 397 is 1.

2. What are the Factors of 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

3. What are the Factors of 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

4. How to Find the GCF of 393 and 397?

Answer:

Greatest Common Factor of 393 and 397 = 1

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 397

397 = 397

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 393 and 397 is 1