Greatest Common Factor of 8560 and 8565

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 8560, 8565 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8560 and 8565 is 5.

GCF(8560,8565) = 5

GCF of 8560 and 8565

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

GCF of:
and

Greatest Common Factor of 8560 and 8565

GCF of 8560 and 8565 is 5

Prime Factorization of 8560


2 8560
2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 8560 are 2,5,107. Prime factorization of 8560 in exponential form is:

8560 = 24×51×1071

Prime Factorization of 8565


3 8565
5 2855
571 571
1

Prime factors of 8565 are 3,5,571. Prime factorization of 8565 in exponential form is:

8565 = 31×51×5711

∴ So by taking common prime factors GCF of 8560 and 8565 is 5

Greatest Common Factor of 8560 and 8565 by matching factors method

Factors of 8560

List of positive integer factors of 8560 that divides 8560 without a remainder.

1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Greatest Common Factor

We found the factors and prime factorization of 8560 and 8565. The biggest common factor number is the GCF number.
So the greatest common factor 8560 and 8565 is 5.

Also check out the Least Common Multiple of 8560 and 8565

Properties of GCF 8560 and 8565

(i) The GCF of 8560 and 8565 is associative

GCF of 8560 and 8565 = GCF of 8565 and 8560

Related Greatest Common Factor of 8560

Related Greatest Common Factor of 8565

Frequently Asked Questions on GCF of 8560 and 8565

1. What is the GCF of 8560 and 8565?

Answer: GCF of 8560 and 8565 is 5.

2. What are the Factors of 8560?

Answer: Factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560. There are 20 integers that are factors of 8560. The greatest factor of 8560 is 8560.

3. What are the Factors of 8565?

Answer: Factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565. There are 8 integers that are factors of 8565. The greatest factor of 8565 is 8565.

4. How to Find the GCF of 8560 and 8565?

Answer:

Greatest Common Factor of 8560 and 8565 = 5

Step 1: Find the prime factorization of 8560

8560 = 2 x 2 x 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 8565

8565 = 3 x 5 x 571

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 8560 and 8565 is 5