Greatest Common Factor of 9859 and 9864

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 9859, 9864 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9859 and 9864 is 1.

GCF(9859,9864) = 1

GCF of 9859 and 9864

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

GCF of:
and

Greatest Common Factor of 9859 and 9864

GCF of 9859 and 9864 is 1

Prime Factorization of 9859


9859 9859
1

Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:

9859 = 98591

Prime Factorization of 9864


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

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

9864 = 23×32×1371

∴ So by taking common prime factors GCF of 9859 and 9864 is 1

Greatest Common Factor of 9859 and 9864 by matching factors method

Factors of 9859

List of positive integer factors of 9859 that divides 9859 without a remainder.

1,9859

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

Greatest Common Factor

We found the factors and prime factorization of 9859 and 9864. The biggest common factor number is the GCF number.
So the greatest common factor 9859 and 9864 is 1.

Also check out the Least Common Multiple of 9859 and 9864

Properties of GCF 9859 and 9864

(i) The GCF of 9859 and 9864 is associative

GCF of 9859 and 9864 = GCF of 9864 and 9859

Related Greatest Common Factor of 9859

Related Greatest Common Factor of 9864

Frequently Asked Questions on GCF of 9859 and 9864

1. What is the GCF of 9859 and 9864?

Answer: GCF of 9859 and 9864 is 1.

2. What are the Factors of 9859?

Answer: Factors of 9859 are 1, 9859. There are 2 integers that are factors of 9859. The greatest factor of 9859 is 9859.

3. 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.

4. How to Find the GCF of 9859 and 9864?

Answer:

Greatest Common Factor of 9859 and 9864 = 1

Step 1: Find the prime factorization of 9859

9859 = 9859

Step 2: Find the prime factorization of 9864

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9859 and 9864 is 1