Greatest Common Factor of 1334 and 1338

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 1334, 1338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1334 and 1338 is 2.

GCF(1334,1338) = 2

GCF of 1334 and 1338

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

GCF of:
and

Greatest Common Factor of 1334 and 1338

GCF of 1334 and 1338 is 2

Prime Factorization of 1334


2 1334
23 667
29 29
1

Prime factors of 1334 are 2,23,29. Prime factorization of 1334 in exponential form is:

1334 = 21×231×291

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

∴ So by taking common prime factors GCF of 1334 and 1338 is 2

Greatest Common Factor of 1334 and 1338 by matching factors method

Factors of 1334

List of positive integer factors of 1334 that divides 1334 without a remainder.

1,2,23,29,46,58,667,1334

Factors of 1338

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

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

Greatest Common Factor

We found the factors and prime factorization of 1334 and 1338. The biggest common factor number is the GCF number.
So the greatest common factor 1334 and 1338 is 2.

Also check out the Least Common Multiple of 1334 and 1338

Properties of GCF 1334 and 1338

(i) The GCF of 1334 and 1338 is associative

GCF of 1334 and 1338 = GCF of 1338 and 1334

Related Greatest Common Factor of 1334

Related Greatest Common Factor of 1338

Frequently Asked Questions on GCF of 1334 and 1338

1. What is the GCF of 1334 and 1338?

Answer: GCF of 1334 and 1338 is 2.

2. What are the Factors of 1334?

Answer: Factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334. There are 8 integers that are factors of 1334. The greatest factor of 1334 is 1334.

3. 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.

4. How to Find the GCF of 1334 and 1338?

Answer:

Greatest Common Factor of 1334 and 1338 = 2

Step 1: Find the prime factorization of 1334

1334 = 2 x 23 x 29

Step 2: Find the prime factorization of 1338

1338 = 2 x 3 x 223

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 1334 and 1338 is 2