Greatest Common Factor of 9900 and 9902

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 9900, 9902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9900 and 9902 is 2.

GCF(9900,9902) = 2

GCF of 9900 and 9902

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

GCF of:
and

Greatest Common Factor of 9900 and 9902

GCF of 9900 and 9902 is 2

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

Prime Factorization of 9902


2 9902
4951 4951
1

Prime factors of 9902 are 2,4951. Prime factorization of 9902 in exponential form is:

9902 = 21×49511

∴ So by taking common prime factors GCF of 9900 and 9902 is 2

Greatest Common Factor of 9900 and 9902 by matching factors method

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

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1,2,4951,9902

Greatest Common Factor

We found the factors and prime factorization of 9900 and 9902. The biggest common factor number is the GCF number.
So the greatest common factor 9900 and 9902 is 2.

Also check out the Least Common Multiple of 9900 and 9902

Properties of GCF 9900 and 9902

(i) The GCF of 9900 and 9902 is associative

GCF of 9900 and 9902 = GCF of 9902 and 9900

Related Greatest Common Factor of 9900

Related Greatest Common Factor of 9902

Frequently Asked Questions on GCF of 9900 and 9902

1. What is the GCF of 9900 and 9902?

Answer: GCF of 9900 and 9902 is 2.

2. 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.

3. What are the Factors of 9902?

Answer: Factors of 9902 are 1, 2, 4951, 9902. There are 4 integers that are factors of 9902. The greatest factor of 9902 is 9902.

4. How to Find the GCF of 9900 and 9902?

Answer:

Greatest Common Factor of 9900 and 9902 = 2

Step 1: Find the prime factorization of 9900

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

Step 2: Find the prime factorization of 9902

9902 = 2 x 4951

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 9900 and 9902 is 2