Greatest Common Factor of 1323 and 1331

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 1323, 1331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1323 and 1331 is 1.

GCF(1323,1331) = 1

GCF of 1323 and 1331

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

GCF of:
and

Greatest Common Factor of 1323 and 1331

GCF of 1323 and 1331 is 1

Prime Factorization of 1323


3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 1323 are 3,7. Prime factorization of 1323 in exponential form is:

1323 = 33×72

Prime Factorization of 1331


11 1331
11 121
11 11
1

Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:

1331 = 113

∴ So by taking common prime factors GCF of 1323 and 1331 is 1

Greatest Common Factor of 1323 and 1331 by matching factors method

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Factors of 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1,11,121,1331

Greatest Common Factor

We found the factors and prime factorization of 1323 and 1331. The biggest common factor number is the GCF number.
So the greatest common factor 1323 and 1331 is 1.

Also check out the Least Common Multiple of 1323 and 1331

Properties of GCF 1323 and 1331

(i) The GCF of 1323 and 1331 is associative

GCF of 1323 and 1331 = GCF of 1331 and 1323

Related Greatest Common Factor of 1323

Related Greatest Common Factor of 1331

Frequently Asked Questions on GCF of 1323 and 1331

1. What is the GCF of 1323 and 1331?

Answer: GCF of 1323 and 1331 is 1.

2. What are the Factors of 1323?

Answer: Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. There are 12 integers that are factors of 1323. The greatest factor of 1323 is 1323.

3. What are the Factors of 1331?

Answer: Factors of 1331 are 1, 11, 121, 1331. There are 4 integers that are factors of 1331. The greatest factor of 1331 is 1331.

4. How to Find the GCF of 1323 and 1331?

Answer:

Greatest Common Factor of 1323 and 1331 = 1

Step 1: Find the prime factorization of 1323

1323 = 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 1331

1331 = 11 x 11 x 11

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 1323 and 1331 is 1