Greatest Common Factor of 337 and 344

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 337, 344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 337 and 344 is 1.

GCF(337,344) = 1

GCF of 337 and 344

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

GCF of:
and

Greatest Common Factor of 337 and 344

GCF of 337 and 344 is 1

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2.Prime factorization of 344 in exponential form is:

344 = 23×431

∴ So by taking common prime factors GCF of 337 and 344 is 1

Greatest Common Factor of 337 and 344 by matching factors method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors and prime factorization of 337 and 344. The biggest common factor number is the GCF number.
So the greatest common factor 337 and 344 is 1.

Also check out the Least Common Multiple of 337 and 344

Properties of GCF 337 and 344

(i) The GCF of 337 and 344 is associative

GCF of 337 and 344 = GCF of 344 and 337

Related Greatest Common Factor of 337

Related Greatest Common Factor of 344

Frequently Asked Questions on GCF of 337 and 344

1. What is the GCF of 337 and 344?

Answer: GCF of 337 and 344 is 1.

2. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

3. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the GCF of 337 and 344?

Answer:

Greatest Common Factor of 337 and 344 = 1

Step 1: Find the prime factorization of 337

337 = 337

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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 337 and 344 is 1