Greatest Common Factor of 9900 and 9907

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, 9907 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9900 and 9907 is 1.

GCF(9900,9907) = 1

GCF of 9900 and 9907

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

GCF of:
and

Greatest Common Factor of 9900 and 9907

GCF of 9900 and 9907 is 1

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 9907


9907 9907
1

Prime factors of 9907 are 9907. Prime factorization of 9907 in exponential form is:

9907 = 99071

∴ So by taking common prime factors GCF of 9900 and 9907 is 1

Greatest Common Factor of 9900 and 9907 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 9907

List of positive integer factors of 9907 that divides 9907 without a remainder.

1,9907

Greatest Common Factor

We found the factors and prime factorization of 9900 and 9907. The biggest common factor number is the GCF number.
So the greatest common factor 9900 and 9907 is 1.

Also check out the Least Common Multiple of 9900 and 9907

Properties of GCF 9900 and 9907

(i) The GCF of 9900 and 9907 is associative

GCF of 9900 and 9907 = GCF of 9907 and 9900

Related Greatest Common Factor of 9900

Related Greatest Common Factor of 9907

Frequently Asked Questions on GCF of 9900 and 9907

1. What is the GCF of 9900 and 9907?

Answer: GCF of 9900 and 9907 is 1.

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 9907?

Answer: Factors of 9907 are 1, 9907. There are 2 integers that are factors of 9907. The greatest factor of 9907 is 9907.

4. How to Find the GCF of 9900 and 9907?

Answer:

Greatest Common Factor of 9900 and 9907 = 1

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 9907

9907 = 9907

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9900 and 9907 is 1