Greatest Common Factor of 9849 and 9856

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 9849, 9856 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9849 and 9856 is 7.

GCF(9849,9856) = 7

GCF of 9849 and 9856

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

GCF of:
and

Greatest Common Factor of 9849 and 9856

GCF of 9849 and 9856 is 7

Prime Factorization of 9849


3 9849
7 3283
7 469
67 67
1

Prime factors of 9849 are 3,7,67. Prime factorization of 9849 in exponential form is:

9849 = 31×72×671

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

∴ So by taking common prime factors GCF of 9849 and 9856 is 7

Greatest Common Factor of 9849 and 9856 by matching factors method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

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

Greatest Common Factor

We found the factors and prime factorization of 9849 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9856 is 7.

Also check out the Least Common Multiple of 9849 and 9856

Properties of GCF 9849 and 9856

(i) The GCF of 9849 and 9856 is associative

GCF of 9849 and 9856 = GCF of 9856 and 9849

Related Greatest Common Factor of 9849

Related Greatest Common Factor of 9856

Frequently Asked Questions on GCF of 9849 and 9856

1. What is the GCF of 9849 and 9856?

Answer: GCF of 9849 and 9856 is 7.

2. What are the Factors of 9849?

Answer: Factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849. There are 12 integers that are factors of 9849. The greatest factor of 9849 is 9849.

3. 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.

4. How to Find the GCF of 9849 and 9856?

Answer:

Greatest Common Factor of 9849 and 9856 = 7

Step 1: Find the prime factorization of 9849

9849 = 3 x 7 x 7 x 67

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9849 and 9856 is 7