Greatest Common Factor of 9808 and 9812

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, 9812 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9808 and 9812 is 4.

GCF(9808,9812) = 4

GCF of 9808 and 9812

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

GCF of:
and

Greatest Common Factor of 9808 and 9812

GCF of 9808 and 9812 is 4

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 9812


2 9812
2 4906
11 2453
223 223
1

Prime factors of 9812 are 2,11,223. Prime factorization of 9812 in exponential form is:

9812 = 22×111×2231

∴ So by taking common prime factors GCF of 9808 and 9812 is 4

Greatest Common Factor of 9808 and 9812 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 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Greatest Common Factor

We found the factors and prime factorization of 9808 and 9812. The biggest common factor number is the GCF number.
So the greatest common factor 9808 and 9812 is 4.

Also check out the Least Common Multiple of 9808 and 9812

Properties of GCF 9808 and 9812

(i) The GCF of 9808 and 9812 is associative

GCF of 9808 and 9812 = GCF of 9812 and 9808

Related Greatest Common Factor of 9808

Related Greatest Common Factor of 9812

Frequently Asked Questions on GCF of 9808 and 9812

1. What is the GCF of 9808 and 9812?

Answer: GCF of 9808 and 9812 is 4.

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 9812?

Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.

4. How to Find the GCF of 9808 and 9812?

Answer:

Greatest Common Factor of 9808 and 9812 = 4

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 9812

9812 = 2 x 2 x 11 x 223

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9808 and 9812 is 4