Greatest Common Factor of 13062 and 13065

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 13062, 13065 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13062 and 13065 is 3.

GCF(13062,13065) = 3

GCF of 13062 and 13065

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

GCF of:
and

Greatest Common Factor of 13062 and 13065

GCF of 13062 and 13065 is 3

Prime Factorization of 13062


2 13062
3 6531
7 2177
311 311
1

Prime factors of 13062 are 2,3,7,311. Prime factorization of 13062 in exponential form is:

13062 = 21×31×71×3111

Prime Factorization of 13065


3 13065
5 4355
13 871
67 67
1

Prime factors of 13065 are 3,5,13,67. Prime factorization of 13065 in exponential form is:

13065 = 31×51×131×671

∴ So by taking common prime factors GCF of 13062 and 13065 is 3

Greatest Common Factor of 13062 and 13065 by matching factors method

Factors of 13062

List of positive integer factors of 13062 that divides 13062 without a remainder.

1,2,3,6,7,14,21,42,311,622,933,1866,2177,4354,6531,13062

Factors of 13065

List of positive integer factors of 13065 that divides 13065 without a remainder.

1,3,5,13,15,39,65,67,195,201,335,871,1005,2613,4355,13065

Greatest Common Factor

We found the factors and prime factorization of 13062 and 13065. The biggest common factor number is the GCF number.
So the greatest common factor 13062 and 13065 is 3.

Also check out the Least Common Multiple of 13062 and 13065

Properties of GCF 13062 and 13065

(i) The GCF of 13062 and 13065 is associative

GCF of 13062 and 13065 = GCF of 13065 and 13062

Related Greatest Common Factor of 13062

Related Greatest Common Factor of 13065

Frequently Asked Questions on GCF of 13062 and 13065

1. What is the GCF of 13062 and 13065?

Answer: GCF of 13062 and 13065 is 3.

2. What are the Factors of 13062?

Answer: Factors of 13062 are 1, 2, 3, 6, 7, 14, 21, 42, 311, 622, 933, 1866, 2177, 4354, 6531, 13062. There are 16 integers that are factors of 13062. The greatest factor of 13062 is 13062.

3. What are the Factors of 13065?

Answer: Factors of 13065 are 1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355, 13065. There are 16 integers that are factors of 13065. The greatest factor of 13065 is 13065.

4. How to Find the GCF of 13062 and 13065?

Answer:

Greatest Common Factor of 13062 and 13065 = 3

Step 1: Find the prime factorization of 13062

13062 = 2 x 3 x 7 x 311

Step 2: Find the prime factorization of 13065

13065 = 3 x 5 x 13 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 13062 and 13065 is 3