Greatest Common Factor of 9855 and 9860

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 9855, 9860 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9855 and 9860 is 5.

GCF(9855,9860) = 5

GCF of 9855 and 9860

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

GCF of:
and

Greatest Common Factor of 9855 and 9860

GCF of 9855 and 9860 is 5

Prime Factorization of 9855


3 9855
3 3285
3 1095
5 365
73 73
1

Prime factors of 9855 are 3,5,73. Prime factorization of 9855 in exponential form is:

9855 = 33×51×731

Prime Factorization of 9860


2 9860
2 4930
5 2465
17 493
29 29
1

Prime factors of 9860 are 2,5,17,29. Prime factorization of 9860 in exponential form is:

9860 = 22×51×171×291

∴ So by taking common prime factors GCF of 9855 and 9860 is 5

Greatest Common Factor of 9855 and 9860 by matching factors method

Factors of 9855

List of positive integer factors of 9855 that divides 9855 without a remainder.

1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860

Greatest Common Factor

We found the factors and prime factorization of 9855 and 9860. The biggest common factor number is the GCF number.
So the greatest common factor 9855 and 9860 is 5.

Also check out the Least Common Multiple of 9855 and 9860

Properties of GCF 9855 and 9860

(i) The GCF of 9855 and 9860 is associative

GCF of 9855 and 9860 = GCF of 9860 and 9855

Related Greatest Common Factor of 9855

Related Greatest Common Factor of 9860

Frequently Asked Questions on GCF of 9855 and 9860

1. What is the GCF of 9855 and 9860?

Answer: GCF of 9855 and 9860 is 5.

2. What are the Factors of 9855?

Answer: Factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855. There are 16 integers that are factors of 9855. The greatest factor of 9855 is 9855.

3. What are the Factors of 9860?

Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.

4. How to Find the GCF of 9855 and 9860?

Answer:

Greatest Common Factor of 9855 and 9860 = 5

Step 1: Find the prime factorization of 9855

9855 = 3 x 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

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 9855 and 9860 is 5