Greatest Common Factor of 9814 and 9822

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 9814, 9822 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9814 and 9822 is 2.

GCF(9814,9822) = 2

GCF of 9814 and 9822

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

GCF of:
and

Greatest Common Factor of 9814 and 9822

GCF of 9814 and 9822 is 2

Prime Factorization of 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2,7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

Prime Factorization of 9822


2 9822
3 4911
1637 1637
1

Prime factors of 9822 are 2,3,1637. Prime factorization of 9822 in exponential form is:

9822 = 21×31×16371

∴ So by taking common prime factors GCF of 9814 and 9822 is 2

Greatest Common Factor of 9814 and 9822 by matching factors method

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Greatest Common Factor

We found the factors and prime factorization of 9814 and 9822. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9822 is 2.

Also check out the Least Common Multiple of 9814 and 9822

Properties of GCF 9814 and 9822

(i) The GCF of 9814 and 9822 is associative

GCF of 9814 and 9822 = GCF of 9822 and 9814

Related Greatest Common Factor of 9814

Related Greatest Common Factor of 9822

Frequently Asked Questions on GCF of 9814 and 9822

1. What is the GCF of 9814 and 9822?

Answer: GCF of 9814 and 9822 is 2.

2. What are the Factors of 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

3. What are the Factors of 9822?

Answer: Factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822. There are 8 integers that are factors of 9822. The greatest factor of 9822 is 9822.

4. How to Find the GCF of 9814 and 9822?

Answer:

Greatest Common Factor of 9814 and 9822 = 2

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

Step 2: Find the prime factorization of 9822

9822 = 2 x 3 x 1637

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9814 and 9822 is 2