Greatest Common Factor of 9864 and 9868

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, 9868 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9864 and 9868 is 4.

GCF(9864,9868) = 4

GCF of 9864 and 9868

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

GCF of:
and

Greatest Common Factor of 9864 and 9868

GCF of 9864 and 9868 is 4

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 9868


2 9868
2 4934
2467 2467
1

Prime factors of 9868 are 2,2467. Prime factorization of 9868 in exponential form is:

9868 = 22×24671

∴ So by taking common prime factors GCF of 9864 and 9868 is 4

Greatest Common Factor of 9864 and 9868 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 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Greatest Common Factor

We found the factors and prime factorization of 9864 and 9868. The biggest common factor number is the GCF number.
So the greatest common factor 9864 and 9868 is 4.

Also check out the Least Common Multiple of 9864 and 9868

Properties of GCF 9864 and 9868

(i) The GCF of 9864 and 9868 is associative

GCF of 9864 and 9868 = GCF of 9868 and 9864

Related Greatest Common Factor of 9864

Related Greatest Common Factor of 9868

Frequently Asked Questions on GCF of 9864 and 9868

1. What is the GCF of 9864 and 9868?

Answer: GCF of 9864 and 9868 is 4.

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 9868?

Answer: Factors of 9868 are 1, 2, 4, 2467, 4934, 9868. There are 6 integers that are factors of 9868. The greatest factor of 9868 is 9868.

4. How to Find the GCF of 9864 and 9868?

Answer:

Greatest Common Factor of 9864 and 9868 = 4

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 9868

9868 = 2 x 2 x 2467

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9864 and 9868 is 4