Greatest Common Factor of 9860 and 9862

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 9860, 9862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9860 and 9862 is 2.

GCF(9860,9862) = 2

GCF of 9860 and 9862

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

GCF of:
and

Greatest Common Factor of 9860 and 9862

GCF of 9860 and 9862 is 2

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

Prime Factorization of 9862


2 9862
4931 4931
1

Prime factors of 9862 are 2,4931. Prime factorization of 9862 in exponential form is:

9862 = 21×49311

∴ So by taking common prime factors GCF of 9860 and 9862 is 2

Greatest Common Factor of 9860 and 9862 by matching factors method

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

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1,2,4931,9862

Greatest Common Factor

We found the factors and prime factorization of 9860 and 9862. The biggest common factor number is the GCF number.
So the greatest common factor 9860 and 9862 is 2.

Also check out the Least Common Multiple of 9860 and 9862

Properties of GCF 9860 and 9862

(i) The GCF of 9860 and 9862 is associative

GCF of 9860 and 9862 = GCF of 9862 and 9860

Related Greatest Common Factor of 9860

Related Greatest Common Factor of 9862

Frequently Asked Questions on GCF of 9860 and 9862

1. What is the GCF of 9860 and 9862?

Answer: GCF of 9860 and 9862 is 2.

2. 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.

3. What are the Factors of 9862?

Answer: Factors of 9862 are 1, 2, 4931, 9862. There are 4 integers that are factors of 9862. The greatest factor of 9862 is 9862.

4. How to Find the GCF of 9860 and 9862?

Answer:

Greatest Common Factor of 9860 and 9862 = 2

Step 1: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 9862

9862 = 2 x 4931

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9860 and 9862 is 2