Greatest Common Factor of 1338 and 1343

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 1338, 1343 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1338 and 1343 is 1.

GCF(1338,1343) = 1

GCF of 1338 and 1343

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

GCF of:
and

Greatest Common Factor of 1338 and 1343

GCF of 1338 and 1343 is 1

Prime Factorization of 1338


2 1338
3 669
223 223
1

Prime factors of 1338 are 2,3,223. Prime factorization of 1338 in exponential form is:

1338 = 21×31×2231

Prime Factorization of 1343


17 1343
79 79
1

Prime factors of 1343 are 17,79. Prime factorization of 1343 in exponential form is:

1343 = 171×791

∴ So by taking common prime factors GCF of 1338 and 1343 is 1

Greatest Common Factor of 1338 and 1343 by matching factors method

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

Factors of 1343

List of positive integer factors of 1343 that divides 1343 without a remainder.

1,17,79,1343

Greatest Common Factor

We found the factors and prime factorization of 1338 and 1343. The biggest common factor number is the GCF number.
So the greatest common factor 1338 and 1343 is 1.

Also check out the Least Common Multiple of 1338 and 1343

Properties of GCF 1338 and 1343

(i) The GCF of 1338 and 1343 is associative

GCF of 1338 and 1343 = GCF of 1343 and 1338

Related Greatest Common Factor of 1338

Related Greatest Common Factor of 1343

Frequently Asked Questions on GCF of 1338 and 1343

1. What is the GCF of 1338 and 1343?

Answer: GCF of 1338 and 1343 is 1.

2. What are the Factors of 1338?

Answer: Factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338. There are 8 integers that are factors of 1338. The greatest factor of 1338 is 1338.

3. What are the Factors of 1343?

Answer: Factors of 1343 are 1, 17, 79, 1343. There are 4 integers that are factors of 1343. The greatest factor of 1343 is 1343.

4. How to Find the GCF of 1338 and 1343?

Answer:

Greatest Common Factor of 1338 and 1343 = 1

Step 1: Find the prime factorization of 1338

1338 = 2 x 3 x 223

Step 2: Find the prime factorization of 1343

1343 = 17 x 79

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 1338 and 1343 is 1