Greatest Common Factor of 13313 and 13321

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 13313, 13321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13313 and 13321 is 1.

GCF(13313,13321) = 1

GCF of 13313 and 13321

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

GCF of:
and

Greatest Common Factor of 13313 and 13321

GCF of 13313 and 13321 is 1

Prime Factorization of 13313


13313 13313
1

Prime factors of 13313 are 13313. Prime factorization of 13313 in exponential form is:

13313 = 133131

Prime Factorization of 13321


7 13321
11 1903
173 173
1

Prime factors of 13321 are 7.Prime factorization of 13321 in exponential form is:

13321 = 71×111×1731

∴ So by taking common prime factors GCF of 13313 and 13321 is 1

Greatest Common Factor of 13313 and 13321 by matching factors method

Factors of 13313

List of positive integer factors of 13313 that divides 13313 without a remainder.

1,13313

Factors of 13321

List of positive integer factors of 13321 that divides 13321 without a remainder.

1,7,11,77,173,1211,1903,13321

Greatest Common Factor

We found the factors and prime factorization of 13313 and 13321. The biggest common factor number is the GCF number.
So the greatest common factor 13313 and 13321 is 1.

Also check out the Least Common Multiple of 13313 and 13321

Properties of GCF 13313 and 13321

(i) The GCF of 13313 and 13321 is associative

GCF of 13313 and 13321 = GCF of 13321 and 13313

Related Greatest Common Factor of 13313

Related Greatest Common Factor of 13321

Frequently Asked Questions on GCF of 13313 and 13321

1. What is the GCF of 13313 and 13321?

Answer: GCF of 13313 and 13321 is 1.

2. What are the Factors of 13313?

Answer: Factors of 13313 are 1, 13313. There are 2 integers that are factors of 13313. The greatest factor of 13313 is 13313.

3. What are the Factors of 13321?

Answer: Factors of 13321 are 1, 7, 11, 77, 173, 1211, 1903, 13321. There are 8 integers that are factors of 13321. The greatest factor of 13321 is 13321.

4. How to Find the GCF of 13313 and 13321?

Answer:

Greatest Common Factor of 13313 and 13321 = 1

Step 1: Find the prime factorization of 13313

13313 = 13313

Step 2: Find the prime factorization of 13321

13321 = 7 x 11 x 173

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 13313 and 13321 is 1