Greatest Common Factor of 10000 and 10002

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 10000, 10002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10000 and 10002 is 2.

GCF(10000,10002) = 2

GCF of 10000 and 10002

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

GCF of:
and

Greatest Common Factor of 10000 and 10002

GCF of 10000 and 10002 is 2

Prime Factorization of 10000


2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 10000 are 2,5. Prime factorization of 10000 in exponential form is:

10000 = 24×54

Prime Factorization of 10002


2 10002
3 5001
1667 1667
1

Prime factors of 10002 are 2,3,1667. Prime factorization of 10002 in exponential form is:

10002 = 21×31×16671

∴ So by taking common prime factors GCF of 10000 and 10002 is 2

Greatest Common Factor of 10000 and 10002 by matching factors method

Factors of 10000

List of positive integer factors of 10000 that divides 10000 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,625,1000,1250,2000,2500,5000,10000

Factors of 10002

List of positive integer factors of 10002 that divides 10002 without a remainder.

1,2,3,6,1667,3334,5001,10002

Greatest Common Factor

We found the factors and prime factorization of 10000 and 10002. The biggest common factor number is the GCF number.
So the greatest common factor 10000 and 10002 is 2.

Also check out the Least Common Multiple of 10000 and 10002

Properties of GCF 10000 and 10002

(i) The GCF of 10000 and 10002 is associative

GCF of 10000 and 10002 = GCF of 10002 and 10000

Related Greatest Common Factor of 10000

Related Greatest Common Factor of 10002

Frequently Asked Questions on GCF of 10000 and 10002

1. What is the GCF of 10000 and 10002?

Answer: GCF of 10000 and 10002 is 2.

2. What are the Factors of 10000?

Answer: Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000. There are 25 integers that are factors of 10000. The greatest factor of 10000 is 10000.

3. What are the Factors of 10002?

Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.

4. How to Find the GCF of 10000 and 10002?

Answer:

Greatest Common Factor of 10000 and 10002 = 2

Step 1: Find the prime factorization of 10000

10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 10002

10002 = 2 x 3 x 1667

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 10000 and 10002 is 2