Greatest Common Factor of 13065 and 13070

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 13065, 13070 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13065 and 13070 is 5.

GCF(13065,13070) = 5

GCF of 13065 and 13070

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

GCF of:
and

Greatest Common Factor of 13065 and 13070

GCF of 13065 and 13070 is 5

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

Prime Factorization of 13070


2 13070
5 6535
1307 1307
1

Prime factors of 13070 are 2,5,1307. Prime factorization of 13070 in exponential form is:

13070 = 21×51×13071

∴ So by taking common prime factors GCF of 13065 and 13070 is 5

Greatest Common Factor of 13065 and 13070 by matching factors method

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

Factors of 13070

List of positive integer factors of 13070 that divides 13070 without a remainder.

1,2,5,10,1307,2614,6535,13070

Greatest Common Factor

We found the factors and prime factorization of 13065 and 13070. The biggest common factor number is the GCF number.
So the greatest common factor 13065 and 13070 is 5.

Also check out the Least Common Multiple of 13065 and 13070

Properties of GCF 13065 and 13070

(i) The GCF of 13065 and 13070 is associative

GCF of 13065 and 13070 = GCF of 13070 and 13065

Related Greatest Common Factor of 13065

Related Greatest Common Factor of 13070

Frequently Asked Questions on GCF of 13065 and 13070

1. What is the GCF of 13065 and 13070?

Answer: GCF of 13065 and 13070 is 5.

2. 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.

3. What are the Factors of 13070?

Answer: Factors of 13070 are 1, 2, 5, 10, 1307, 2614, 6535, 13070. There are 8 integers that are factors of 13070. The greatest factor of 13070 is 13070.

4. How to Find the GCF of 13065 and 13070?

Answer:

Greatest Common Factor of 13065 and 13070 = 5

Step 1: Find the prime factorization of 13065

13065 = 3 x 5 x 13 x 67

Step 2: Find the prime factorization of 13070

13070 = 2 x 5 x 1307

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

GCF = 5

Step 4: Therefore, the greatest common factor of 13065 and 13070 is 5