Greatest Common Factor of 9892 and 9900

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 9892, 9900 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9892 and 9900 is 4.

GCF(9892,9900) = 4

GCF of 9892 and 9900

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

GCF of:
and

Greatest Common Factor of 9892 and 9900

GCF of 9892 and 9900 is 4

Prime Factorization of 9892


2 9892
2 4946
2473 2473
1

Prime factors of 9892 are 2,2473. Prime factorization of 9892 in exponential form is:

9892 = 22×24731

Prime Factorization of 9900


2 9900
2 4950
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 9900 are 2,3,5,11. Prime factorization of 9900 in exponential form is:

9900 = 22×32×52×111

∴ So by taking common prime factors GCF of 9892 and 9900 is 4

Greatest Common Factor of 9892 and 9900 by matching factors method

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors and prime factorization of 9892 and 9900. The biggest common factor number is the GCF number.
So the greatest common factor 9892 and 9900 is 4.

Also check out the Least Common Multiple of 9892 and 9900

Properties of GCF 9892 and 9900

(i) The GCF of 9892 and 9900 is associative

GCF of 9892 and 9900 = GCF of 9900 and 9892

Related Greatest Common Factor of 9892

Related Greatest Common Factor of 9900

Frequently Asked Questions on GCF of 9892 and 9900

1. What is the GCF of 9892 and 9900?

Answer: GCF of 9892 and 9900 is 4.

2. What are the Factors of 9892?

Answer: Factors of 9892 are 1, 2, 4, 2473, 4946, 9892. There are 6 integers that are factors of 9892. The greatest factor of 9892 is 9892.

3. What are the Factors of 9900?

Answer: Factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900. There are 54 integers that are factors of 9900. The greatest factor of 9900 is 9900.

4. How to Find the GCF of 9892 and 9900?

Answer:

Greatest Common Factor of 9892 and 9900 = 4

Step 1: Find the prime factorization of 9892

9892 = 2 x 2 x 2473

Step 2: Find the prime factorization of 9900

9900 = 2 x 2 x 3 x 3 x 5 x 5 x 11

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 9892 and 9900 is 4