Greatest Common Factor of 9808 and 9814

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 9808, 9814 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9808 and 9814 is 2.

GCF(9808,9814) = 2

GCF of 9808 and 9814

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

GCF of:
and

Greatest Common Factor of 9808 and 9814

GCF of 9808 and 9814 is 2

Prime Factorization of 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

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

∴ So by taking common prime factors GCF of 9808 and 9814 is 2

Greatest Common Factor of 9808 and 9814 by matching factors method

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1,2,4,8,16,613,1226,2452,4904,9808

Factors of 9814

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

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

Greatest Common Factor

We found the factors and prime factorization of 9808 and 9814. The biggest common factor number is the GCF number.
So the greatest common factor 9808 and 9814 is 2.

Also check out the Least Common Multiple of 9808 and 9814

Properties of GCF 9808 and 9814

(i) The GCF of 9808 and 9814 is associative

GCF of 9808 and 9814 = GCF of 9814 and 9808

Related Greatest Common Factor of 9808

Related Greatest Common Factor of 9814

Frequently Asked Questions on GCF of 9808 and 9814

1. What is the GCF of 9808 and 9814?

Answer: GCF of 9808 and 9814 is 2.

2. What are the Factors of 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

3. 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.

4. How to Find the GCF of 9808 and 9814?

Answer:

Greatest Common Factor of 9808 and 9814 = 2

Step 1: Find the prime factorization of 9808

9808 = 2 x 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 9814

9814 = 2 x 7 x 701

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 9808 and 9814 is 2