Greatest Common Factor of 13351 and 13359

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 13351, 13359 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13351 and 13359 is 1.

GCF(13351,13359) = 1

GCF of 13351 and 13359

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

GCF of:
and

Greatest Common Factor of 13351 and 13359

GCF of 13351 and 13359 is 1

Prime Factorization of 13351


13 13351
13 1027
79 79
1

Prime factors of 13351 are 13,79. Prime factorization of 13351 in exponential form is:

13351 = 132×791

Prime Factorization of 13359


3 13359
61 4453
73 73
1

Prime factors of 13359 are 3,61,73. Prime factorization of 13359 in exponential form is:

13359 = 31×611×731

∴ So by taking common prime factors GCF of 13351 and 13359 is 1

Greatest Common Factor of 13351 and 13359 by matching factors method

Factors of 13351

List of positive integer factors of 13351 that divides 13351 without a remainder.

1,13,79,169,1027,13351

Factors of 13359

List of positive integer factors of 13359 that divides 13359 without a remainder.

1,3,61,73,183,219,4453,13359

Greatest Common Factor

We found the factors and prime factorization of 13351 and 13359. The biggest common factor number is the GCF number.
So the greatest common factor 13351 and 13359 is 1.

Also check out the Least Common Multiple of 13351 and 13359

Properties of GCF 13351 and 13359

(i) The GCF of 13351 and 13359 is associative

GCF of 13351 and 13359 = GCF of 13359 and 13351

Related Greatest Common Factor of 13351

Related Greatest Common Factor of 13359

Frequently Asked Questions on GCF of 13351 and 13359

1. What is the GCF of 13351 and 13359?

Answer: GCF of 13351 and 13359 is 1.

2. What are the Factors of 13351?

Answer: Factors of 13351 are 1, 13, 79, 169, 1027, 13351. There are 6 integers that are factors of 13351. The greatest factor of 13351 is 13351.

3. What are the Factors of 13359?

Answer: Factors of 13359 are 1, 3, 61, 73, 183, 219, 4453, 13359. There are 8 integers that are factors of 13359. The greatest factor of 13359 is 13359.

4. How to Find the GCF of 13351 and 13359?

Answer:

Greatest Common Factor of 13351 and 13359 = 1

Step 1: Find the prime factorization of 13351

13351 = 13 x 13 x 79

Step 2: Find the prime factorization of 13359

13359 = 3 x 61 x 73

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 13351 and 13359 is 1