Greatest Common Factor of 9880 and 9885

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 9880, 9885 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9880 and 9885 is 5.

GCF(9880,9885) = 5

GCF of 9880 and 9885

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

GCF of:
and

Greatest Common Factor of 9880 and 9885

GCF of 9880 and 9885 is 5

Prime Factorization of 9880


2 9880
2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 9880 are 2,5,13,19. Prime factorization of 9880 in exponential form is:

9880 = 23×51×131×191

Prime Factorization of 9885


3 9885
5 3295
659 659
1

Prime factors of 9885 are 3,5,659. Prime factorization of 9885 in exponential form is:

9885 = 31×51×6591

∴ So by taking common prime factors GCF of 9880 and 9885 is 5

Greatest Common Factor of 9880 and 9885 by matching factors method

Factors of 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

Greatest Common Factor

We found the factors and prime factorization of 9880 and 9885. The biggest common factor number is the GCF number.
So the greatest common factor 9880 and 9885 is 5.

Also check out the Least Common Multiple of 9880 and 9885

Properties of GCF 9880 and 9885

(i) The GCF of 9880 and 9885 is associative

GCF of 9880 and 9885 = GCF of 9885 and 9880

Related Greatest Common Factor of 9880

Related Greatest Common Factor of 9885

Frequently Asked Questions on GCF of 9880 and 9885

1. What is the GCF of 9880 and 9885?

Answer: GCF of 9880 and 9885 is 5.

2. What are the Factors of 9880?

Answer: Factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880. There are 32 integers that are factors of 9880. The greatest factor of 9880 is 9880.

3. What are the Factors of 9885?

Answer: Factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885. There are 8 integers that are factors of 9885. The greatest factor of 9885 is 9885.

4. How to Find the GCF of 9880 and 9885?

Answer:

Greatest Common Factor of 9880 and 9885 = 5

Step 1: Find the prime factorization of 9880

9880 = 2 x 2 x 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 9885

9885 = 3 x 5 x 659

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 9880 and 9885 is 5