Greatest Common Factor of 10065 and 10071

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 10065, 10071 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10065 and 10071 is 3.

GCF(10065,10071) = 3

GCF of 10065 and 10071

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

GCF of:
and

Greatest Common Factor of 10065 and 10071

GCF of 10065 and 10071 is 3

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

Prime Factorization of 10071


3 10071
3 3357
3 1119
373 373
1

Prime factors of 10071 are 3,373. Prime factorization of 10071 in exponential form is:

10071 = 33×3731

∴ So by taking common prime factors GCF of 10065 and 10071 is 3

Greatest Common Factor of 10065 and 10071 by matching factors method

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

Factors of 10071

List of positive integer factors of 10071 that divides 10071 without a remainder.

1,3,9,27,373,1119,3357,10071

Greatest Common Factor

We found the factors and prime factorization of 10065 and 10071. The biggest common factor number is the GCF number.
So the greatest common factor 10065 and 10071 is 3.

Also check out the Least Common Multiple of 10065 and 10071

Properties of GCF 10065 and 10071

(i) The GCF of 10065 and 10071 is associative

GCF of 10065 and 10071 = GCF of 10071 and 10065

Related Greatest Common Factor of 10065

Related Greatest Common Factor of 10071

Frequently Asked Questions on GCF of 10065 and 10071

1. What is the GCF of 10065 and 10071?

Answer: GCF of 10065 and 10071 is 3.

2. 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.

3. What are the Factors of 10071?

Answer: Factors of 10071 are 1, 3, 9, 27, 373, 1119, 3357, 10071. There are 8 integers that are factors of 10071. The greatest factor of 10071 is 10071.

4. How to Find the GCF of 10065 and 10071?

Answer:

Greatest Common Factor of 10065 and 10071 = 3

Step 1: Find the prime factorization of 10065

10065 = 3 x 5 x 11 x 61

Step 2: Find the prime factorization of 10071

10071 = 3 x 3 x 3 x 373

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 10065 and 10071 is 3