Greatest Common Factor of 855 and 860

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 855, 860 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 855 and 860 is 5.

GCF(855,860) = 5

GCF of 855 and 860

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

GCF of:
and

Greatest Common Factor of 855 and 860

GCF of 855 and 860 is 5

Prime Factorization of 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3,5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2,5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

∴ So by taking common prime factors GCF of 855 and 860 is 5

Greatest Common Factor of 855 and 860 by matching factors method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors and prime factorization of 855 and 860. The biggest common factor number is the GCF number.
So the greatest common factor 855 and 860 is 5.

Also check out the Least Common Multiple of 855 and 860

Properties of GCF 855 and 860

(i) The GCF of 855 and 860 is associative

GCF of 855 and 860 = GCF of 860 and 855

Related Greatest Common Factor of 855

Related Greatest Common Factor of 860

Frequently Asked Questions on GCF of 855 and 860

1. What is the GCF of 855 and 860?

Answer: GCF of 855 and 860 is 5.

2. What are the Factors of 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

3. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

4. How to Find the GCF of 855 and 860?

Answer:

Greatest Common Factor of 855 and 860 = 5

Step 1: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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 855 and 860 is 5