Greatest Common Factor of 1327 and 1334

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 1327, 1334 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1327 and 1334 is 1.

GCF(1327,1334) = 1

GCF of 1327 and 1334

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

GCF of:
and

Greatest Common Factor of 1327 and 1334

GCF of 1327 and 1334 is 1

Prime Factorization of 1327


1327 1327
1

Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:

1327 = 13271

Prime Factorization of 1334


2 1334
23 667
29 29
1

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

1334 = 21×231×291

∴ So by taking common prime factors GCF of 1327 and 1334 is 1

Greatest Common Factor of 1327 and 1334 by matching factors method

Factors of 1327

List of positive integer factors of 1327 that divides 1327 without a remainder.

1,1327

Factors of 1334

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

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

Greatest Common Factor

We found the factors and prime factorization of 1327 and 1334. The biggest common factor number is the GCF number.
So the greatest common factor 1327 and 1334 is 1.

Also check out the Least Common Multiple of 1327 and 1334

Properties of GCF 1327 and 1334

(i) The GCF of 1327 and 1334 is associative

GCF of 1327 and 1334 = GCF of 1334 and 1327

Related Greatest Common Factor of 1327

Related Greatest Common Factor of 1334

Frequently Asked Questions on GCF of 1327 and 1334

1. What is the GCF of 1327 and 1334?

Answer: GCF of 1327 and 1334 is 1.

2. What are the Factors of 1327?

Answer: Factors of 1327 are 1, 1327. There are 2 integers that are factors of 1327. The greatest factor of 1327 is 1327.

3. 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.

4. How to Find the GCF of 1327 and 1334?

Answer:

Greatest Common Factor of 1327 and 1334 = 1

Step 1: Find the prime factorization of 1327

1327 = 1327

Step 2: Find the prime factorization of 1334

1334 = 2 x 23 x 29

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 1327 and 1334 is 1