Greatest Common Factor of 9870 and 9873

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 9870, 9873 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9870 and 9873 is 3.

GCF(9870,9873) = 3

GCF of 9870 and 9873

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

GCF of:
and

Greatest Common Factor of 9870 and 9873

GCF of 9870 and 9873 is 3

Prime Factorization of 9870


2 9870
3 4935
5 1645
7 329
47 47
1

Prime factors of 9870 are 2,3,5,7,47. Prime factorization of 9870 in exponential form is:

9870 = 21×31×51×71×471

Prime Factorization of 9873


3 9873
3 3291
1097 1097
1

Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:

9873 = 32×10971

∴ So by taking common prime factors GCF of 9870 and 9873 is 3

Greatest Common Factor of 9870 and 9873 by matching factors method

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1,3,9,1097,3291,9873

Greatest Common Factor

We found the factors and prime factorization of 9870 and 9873. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9873 is 3.

Also check out the Least Common Multiple of 9870 and 9873

Properties of GCF 9870 and 9873

(i) The GCF of 9870 and 9873 is associative

GCF of 9870 and 9873 = GCF of 9873 and 9870

Related Greatest Common Factor of 9870

Related Greatest Common Factor of 9873

Frequently Asked Questions on GCF of 9870 and 9873

1. What is the GCF of 9870 and 9873?

Answer: GCF of 9870 and 9873 is 3.

2. What are the Factors of 9870?

Answer: Factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870. There are 32 integers that are factors of 9870. The greatest factor of 9870 is 9870.

3. What are the Factors of 9873?

Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.

4. How to Find the GCF of 9870 and 9873?

Answer:

Greatest Common Factor of 9870 and 9873 = 3

Step 1: Find the prime factorization of 9870

9870 = 2 x 3 x 5 x 7 x 47

Step 2: Find the prime factorization of 9873

9873 = 3 x 3 x 1097

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9870 and 9873 is 3