Greatest Common Factor of 9870 and 9876

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, 9876 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9870 and 9876 is 6.

GCF(9870,9876) = 6

GCF of 9870 and 9876

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

GCF of:
and

Greatest Common Factor of 9870 and 9876

GCF of 9870 and 9876 is 6

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 9876


2 9876
2 4938
3 2469
823 823
1

Prime factors of 9876 are 2,3,823. Prime factorization of 9876 in exponential form is:

9876 = 22×31×8231

∴ So by taking common prime factors GCF of 9870 and 9876 is 6

Greatest Common Factor of 9870 and 9876 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 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Greatest Common Factor

We found the factors and prime factorization of 9870 and 9876. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9876 is 6.

Also check out the Least Common Multiple of 9870 and 9876

Properties of GCF 9870 and 9876

(i) The GCF of 9870 and 9876 is associative

GCF of 9870 and 9876 = GCF of 9876 and 9870

Related Greatest Common Factor of 9870

Related Greatest Common Factor of 9876

Frequently Asked Questions on GCF of 9870 and 9876

1. What is the GCF of 9870 and 9876?

Answer: GCF of 9870 and 9876 is 6.

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 9876?

Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.

4. How to Find the GCF of 9870 and 9876?

Answer:

Greatest Common Factor of 9870 and 9876 = 6

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 9876

9876 = 2 x 2 x 3 x 823

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9870 and 9876 is 6