Greatest Common Factor of 9856 and 9859

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 9856, 9859 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9856 and 9859 is 1.

GCF(9856,9859) = 1

GCF of 9856 and 9859

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

GCF of:
and

Greatest Common Factor of 9856 and 9859

GCF of 9856 and 9859 is 1

Prime Factorization of 9856


2 9856
2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 9856 are 2,7,11. Prime factorization of 9856 in exponential form is:

9856 = 27×71×111

Prime Factorization of 9859


9859 9859
1

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

9859 = 98591

∴ So by taking common prime factors GCF of 9856 and 9859 is 1

Greatest Common Factor of 9856 and 9859 by matching factors method

Factors of 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856

Factors of 9859

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

1,9859

Greatest Common Factor

We found the factors and prime factorization of 9856 and 9859. The biggest common factor number is the GCF number.
So the greatest common factor 9856 and 9859 is 1.

Also check out the Least Common Multiple of 9856 and 9859

Properties of GCF 9856 and 9859

(i) The GCF of 9856 and 9859 is associative

GCF of 9856 and 9859 = GCF of 9859 and 9856

Frequently Asked Questions on GCF of 9856 and 9859

1. What is the GCF of 9856 and 9859?

Answer: GCF of 9856 and 9859 is 1.

2. What are the Factors of 9856?

Answer: Factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856. There are 32 integers that are factors of 9856. The greatest factor of 9856 is 9856.

3. 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.

4. How to Find the GCF of 9856 and 9859?

Answer:

Greatest Common Factor of 9856 and 9859 = 1

Step 1: Find the prime factorization of 9856

9856 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 9859

9859 = 9859

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 9856 and 9859 is 1