Greatest Common Factor of 1334 and 1336

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, 1336 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1334 and 1336 is 2.

GCF(1334,1336) = 2

GCF of 1334 and 1336

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

GCF of:
and

Greatest Common Factor of 1334 and 1336

GCF of 1334 and 1336 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 1336


2 1336
2 668
2 334
167 167
1

Prime factors of 1336 are 2,167. Prime factorization of 1336 in exponential form is:

1336 = 23×1671

∴ So by taking common prime factors GCF of 1334 and 1336 is 2

Greatest Common Factor of 1334 and 1336 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 1336

List of positive integer factors of 1336 that divides 1336 without a remainder.

1,2,4,8,167,334,668,1336

Greatest Common Factor

We found the factors and prime factorization of 1334 and 1336. The biggest common factor number is the GCF number.
So the greatest common factor 1334 and 1336 is 2.

Also check out the Least Common Multiple of 1334 and 1336

Properties of GCF 1334 and 1336

(i) The GCF of 1334 and 1336 is associative

GCF of 1334 and 1336 = GCF of 1336 and 1334

Related Greatest Common Factor of 1334

Related Greatest Common Factor of 1336

Frequently Asked Questions on GCF of 1334 and 1336

1. What is the GCF of 1334 and 1336?

Answer: GCF of 1334 and 1336 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 1336?

Answer: Factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336. There are 8 integers that are factors of 1336. The greatest factor of 1336 is 1336.

4. How to Find the GCF of 1334 and 1336?

Answer:

Greatest Common Factor of 1334 and 1336 = 2

Step 1: Find the prime factorization of 1334

1334 = 2 x 23 x 29

Step 2: Find the prime factorization of 1336

1336 = 2 x 2 x 2 x 167

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 1336 is 2