Greatest Common Factor of 9812 and 9820

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 9812, 9820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9812 and 9820 is 4.

GCF(9812,9820) = 4

GCF of 9812 and 9820

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

GCF of:
and

Greatest Common Factor of 9812 and 9820

GCF of 9812 and 9820 is 4

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

Prime Factorization of 9820


2 9820
2 4910
5 2455
491 491
1

Prime factors of 9820 are 2,5,491. Prime factorization of 9820 in exponential form is:

9820 = 22×51×4911

∴ So by taking common prime factors GCF of 9812 and 9820 is 4

Greatest Common Factor of 9812 and 9820 by matching factors method

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

Factors of 9820

List of positive integer factors of 9820 that divides 9820 without a remainder.

1,2,4,5,10,20,491,982,1964,2455,4910,9820

Greatest Common Factor

We found the factors and prime factorization of 9812 and 9820. The biggest common factor number is the GCF number.
So the greatest common factor 9812 and 9820 is 4.

Also check out the Least Common Multiple of 9812 and 9820

Properties of GCF 9812 and 9820

(i) The GCF of 9812 and 9820 is associative

GCF of 9812 and 9820 = GCF of 9820 and 9812

Related Greatest Common Factor of 9812

Related Greatest Common Factor of 9820

Frequently Asked Questions on GCF of 9812 and 9820

1. What is the GCF of 9812 and 9820?

Answer: GCF of 9812 and 9820 is 4.

2. 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.

3. What are the Factors of 9820?

Answer: Factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820. There are 12 integers that are factors of 9820. The greatest factor of 9820 is 9820.

4. How to Find the GCF of 9812 and 9820?

Answer:

Greatest Common Factor of 9812 and 9820 = 4

Step 1: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

Step 2: Find the prime factorization of 9820

9820 = 2 x 2 x 5 x 491

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 9812 and 9820 is 4