Greatest Common Factor of 9812 and 9816

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, 9816 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9812 and 9816 is 4.

GCF(9812,9816) = 4

GCF of 9812 and 9816

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

GCF of:
and

Greatest Common Factor of 9812 and 9816

GCF of 9812 and 9816 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 9816


2 9816
2 4908
2 2454
3 1227
409 409
1

Prime factors of 9816 are 2,3,409. Prime factorization of 9816 in exponential form is:

9816 = 23×31×4091

∴ So by taking common prime factors GCF of 9812 and 9816 is 4

Greatest Common Factor of 9812 and 9816 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 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816

Greatest Common Factor

We found the factors and prime factorization of 9812 and 9816. The biggest common factor number is the GCF number.
So the greatest common factor 9812 and 9816 is 4.

Also check out the Least Common Multiple of 9812 and 9816

Properties of GCF 9812 and 9816

(i) The GCF of 9812 and 9816 is associative

GCF of 9812 and 9816 = GCF of 9816 and 9812

Related Greatest Common Factor of 9812

Related Greatest Common Factor of 9816

Frequently Asked Questions on GCF of 9812 and 9816

1. What is the GCF of 9812 and 9816?

Answer: GCF of 9812 and 9816 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 9816?

Answer: Factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816. There are 16 integers that are factors of 9816. The greatest factor of 9816 is 9816.

4. How to Find the GCF of 9812 and 9816?

Answer:

Greatest Common Factor of 9812 and 9816 = 4

Step 1: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

Step 2: Find the prime factorization of 9816

9816 = 2 x 2 x 2 x 3 x 409

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 9816 is 4