Greatest Common Factor of 9864 and 9870

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 9864, 9870 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9864 and 9870 is 6.

GCF(9864,9870) = 6

GCF of 9864 and 9870

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

GCF of:
and

Greatest Common Factor of 9864 and 9870

GCF of 9864 and 9870 is 6

Prime Factorization of 9864


2 9864
2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 9864 are 2,3,137. Prime factorization of 9864 in exponential form is:

9864 = 23×32×1371

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

∴ So by taking common prime factors GCF of 9864 and 9870 is 6

Greatest Common Factor of 9864 and 9870 by matching factors method

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

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

Greatest Common Factor

We found the factors and prime factorization of 9864 and 9870. The biggest common factor number is the GCF number.
So the greatest common factor 9864 and 9870 is 6.

Also check out the Least Common Multiple of 9864 and 9870

Properties of GCF 9864 and 9870

(i) The GCF of 9864 and 9870 is associative

GCF of 9864 and 9870 = GCF of 9870 and 9864

Related Greatest Common Factor of 9864

Related Greatest Common Factor of 9870

Frequently Asked Questions on GCF of 9864 and 9870

1. What is the GCF of 9864 and 9870?

Answer: GCF of 9864 and 9870 is 6.

2. What are the Factors of 9864?

Answer: Factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. There are 24 integers that are factors of 9864. The greatest factor of 9864 is 9864.

3. 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.

4. How to Find the GCF of 9864 and 9870?

Answer:

Greatest Common Factor of 9864 and 9870 = 6

Step 1: Find the prime factorization of 9864

9864 = 2 x 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 9870

9870 = 2 x 3 x 5 x 7 x 47

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 9864 and 9870 is 6