Greatest Common Factor of 10096 and 10100

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 10096, 10100 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10096 and 10100 is 4.

GCF(10096,10100) = 4

GCF of 10096 and 10100

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

GCF of:
and

Greatest Common Factor of 10096 and 10100

GCF of 10096 and 10100 is 4

Prime Factorization of 10096


2 10096
2 5048
2 2524
2 1262
631 631
1

Prime factors of 10096 are 2,631. Prime factorization of 10096 in exponential form is:

10096 = 24×6311

Prime Factorization of 10100


2 10100
2 5050
5 2525
5 505
101 101
1

Prime factors of 10100 are 2,5,101. Prime factorization of 10100 in exponential form is:

10100 = 22×52×1011

∴ So by taking common prime factors GCF of 10096 and 10100 is 4

Greatest Common Factor of 10096 and 10100 by matching factors method

Factors of 10096

List of positive integer factors of 10096 that divides 10096 without a remainder.

1,2,4,8,16,631,1262,2524,5048,10096

Factors of 10100

List of positive integer factors of 10100 that divides 10100 without a remainder.

1,2,4,5,10,20,25,50,100,101,202,404,505,1010,2020,2525,5050,10100

Greatest Common Factor

We found the factors and prime factorization of 10096 and 10100. The biggest common factor number is the GCF number.
So the greatest common factor 10096 and 10100 is 4.

Also check out the Least Common Multiple of 10096 and 10100

Properties of GCF 10096 and 10100

(i) The GCF of 10096 and 10100 is associative

GCF of 10096 and 10100 = GCF of 10100 and 10096

Related Greatest Common Factor of 10096

Related Greatest Common Factor of 10100

Frequently Asked Questions on GCF of 10096 and 10100

1. What is the GCF of 10096 and 10100?

Answer: GCF of 10096 and 10100 is 4.

2. What are the Factors of 10096?

Answer: Factors of 10096 are 1, 2, 4, 8, 16, 631, 1262, 2524, 5048, 10096. There are 10 integers that are factors of 10096. The greatest factor of 10096 is 10096.

3. What are the Factors of 10100?

Answer: Factors of 10100 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 202, 404, 505, 1010, 2020, 2525, 5050, 10100. There are 18 integers that are factors of 10100. The greatest factor of 10100 is 10100.

4. How to Find the GCF of 10096 and 10100?

Answer:

Greatest Common Factor of 10096 and 10100 = 4

Step 1: Find the prime factorization of 10096

10096 = 2 x 2 x 2 x 2 x 631

Step 2: Find the prime factorization of 10100

10100 = 2 x 2 x 5 x 5 x 101

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 10096 and 10100 is 4