Greatest Common Factor of 10059 and 10065

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 10059, 10065 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10059 and 10065 is 3.

GCF(10059,10065) = 3

GCF of 10059 and 10065

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

GCF of:
and

Greatest Common Factor of 10059 and 10065

GCF of 10059 and 10065 is 3

Prime Factorization of 10059


3 10059
7 3353
479 479
1

Prime factors of 10059 are 3,7,479. Prime factorization of 10059 in exponential form is:

10059 = 31×71×4791

Prime Factorization of 10065


3 10065
5 3355
11 671
61 61
1

Prime factors of 10065 are 3,5,11,61. Prime factorization of 10065 in exponential form is:

10065 = 31×51×111×611

∴ So by taking common prime factors GCF of 10059 and 10065 is 3

Greatest Common Factor of 10059 and 10065 by matching factors method

Factors of 10059

List of positive integer factors of 10059 that divides 10059 without a remainder.

1,3,7,21,479,1437,3353,10059

Factors of 10065

List of positive integer factors of 10065 that divides 10065 without a remainder.

1,3,5,11,15,33,55,61,165,183,305,671,915,2013,3355,10065

Greatest Common Factor

We found the factors and prime factorization of 10059 and 10065. The biggest common factor number is the GCF number.
So the greatest common factor 10059 and 10065 is 3.

Also check out the Least Common Multiple of 10059 and 10065

Properties of GCF 10059 and 10065

(i) The GCF of 10059 and 10065 is associative

GCF of 10059 and 10065 = GCF of 10065 and 10059

Related Greatest Common Factor of 10059

Related Greatest Common Factor of 10065

Frequently Asked Questions on GCF of 10059 and 10065

1. What is the GCF of 10059 and 10065?

Answer: GCF of 10059 and 10065 is 3.

2. What are the Factors of 10059?

Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.

3. What are the Factors of 10065?

Answer: Factors of 10065 are 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065. There are 16 integers that are factors of 10065. The greatest factor of 10065 is 10065.

4. How to Find the GCF of 10059 and 10065?

Answer:

Greatest Common Factor of 10059 and 10065 = 3

Step 1: Find the prime factorization of 10059

10059 = 3 x 7 x 479

Step 2: Find the prime factorization of 10065

10065 = 3 x 5 x 11 x 61

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 10059 and 10065 is 3