Greatest Common Factor of 338 and 341

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 338, 341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 338 and 341 is 1.

GCF(338,341) = 1

GCF of 338 and 341

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

GCF of:
and

Greatest Common Factor of 338 and 341

GCF of 338 and 341 is 1

Prime Factorization of 338


2 338
13 169
13 13
1

Prime factors of 338 are 2,13. Prime factorization of 338 in exponential form is:

338 = 21×132

Prime Factorization of 341


11 341
31 31
1

Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:

341 = 111×311

∴ So by taking common prime factors GCF of 338 and 341 is 1

Greatest Common Factor of 338 and 341 by matching factors method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors and prime factorization of 338 and 341. The biggest common factor number is the GCF number.
So the greatest common factor 338 and 341 is 1.

Also check out the Least Common Multiple of 338 and 341

Properties of GCF 338 and 341

(i) The GCF of 338 and 341 is associative

GCF of 338 and 341 = GCF of 341 and 338

Related Greatest Common Factor of 338

Related Greatest Common Factor of 341

Frequently Asked Questions on GCF of 338 and 341

1. What is the GCF of 338 and 341?

Answer: GCF of 338 and 341 is 1.

2. What are the Factors of 338?

Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.

3. What are the Factors of 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

4. How to Find the GCF of 338 and 341?

Answer:

Greatest Common Factor of 338 and 341 = 1

Step 1: Find the prime factorization of 338

338 = 2 x 13 x 13

Step 2: Find the prime factorization of 341

341 = 11 x 31

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 338 and 341 is 1