Greatest Common Factor of 8060 and 8065

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 8060, 8065 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8060 and 8065 is 5.

GCF(8060,8065) = 5

GCF of 8060 and 8065

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

GCF of:
and

Greatest Common Factor of 8060 and 8065

GCF of 8060 and 8065 is 5

Prime Factorization of 8060


2 8060
2 4030
5 2015
13 403
31 31
1

Prime factors of 8060 are 2,5,13,31. Prime factorization of 8060 in exponential form is:

8060 = 22×51×131×311

Prime Factorization of 8065


5 8065
1613 1613
1

Prime factors of 8065 are 5,1613. Prime factorization of 8065 in exponential form is:

8065 = 51×16131

∴ So by taking common prime factors GCF of 8060 and 8065 is 5

Greatest Common Factor of 8060 and 8065 by matching factors method

Factors of 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1,5,1613,8065

Greatest Common Factor

We found the factors and prime factorization of 8060 and 8065. The biggest common factor number is the GCF number.
So the greatest common factor 8060 and 8065 is 5.

Also check out the Least Common Multiple of 8060 and 8065

Properties of GCF 8060 and 8065

(i) The GCF of 8060 and 8065 is associative

GCF of 8060 and 8065 = GCF of 8065 and 8060

Related Greatest Common Factor of 8060

Related Greatest Common Factor of 8065

Frequently Asked Questions on GCF of 8060 and 8065

1. What is the GCF of 8060 and 8065?

Answer: GCF of 8060 and 8065 is 5.

2. What are the Factors of 8060?

Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.

3. What are the Factors of 8065?

Answer: Factors of 8065 are 1, 5, 1613, 8065. There are 4 integers that are factors of 8065. The greatest factor of 8065 is 8065.

4. How to Find the GCF of 8060 and 8065?

Answer:

Greatest Common Factor of 8060 and 8065 = 5

Step 1: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

Step 2: Find the prime factorization of 8065

8065 = 5 x 1613

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 8060 and 8065 is 5