Greatest Common Factor of 10204 and 10212

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 10204, 10212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10204 and 10212 is 4.

GCF(10204,10212) = 4

GCF of 10204 and 10212

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

GCF of:
and

Greatest Common Factor of 10204 and 10212

GCF of 10204 and 10212 is 4

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

Prime factors of 10204 are 2,2551. Prime factorization of 10204 in exponential form is:

10204 = 22×25511

Prime Factorization of 10212


2 10212
2 5106
3 2553
23 851
37 37
1

Prime factors of 10212 are 2,3,23,37. Prime factorization of 10212 in exponential form is:

10212 = 22×31×231×371

∴ So by taking common prime factors GCF of 10204 and 10212 is 4

Greatest Common Factor of 10204 and 10212 by matching factors method

Factors of 10204

List of positive integer factors of 10204 that divides 10204 without a remainder.

1,2,4,2551,5102,10204

Factors of 10212

List of positive integer factors of 10212 that divides 10212 without a remainder.

1,2,3,4,6,12,23,37,46,69,74,92,111,138,148,222,276,444,851,1702,2553,3404,5106,10212

Greatest Common Factor

We found the factors and prime factorization of 10204 and 10212. The biggest common factor number is the GCF number.
So the greatest common factor 10204 and 10212 is 4.

Also check out the Least Common Multiple of 10204 and 10212

Properties of GCF 10204 and 10212

(i) The GCF of 10204 and 10212 is associative

GCF of 10204 and 10212 = GCF of 10212 and 10204

Related Greatest Common Factor of 10204

Related Greatest Common Factor of 10212

Frequently Asked Questions on GCF of 10204 and 10212

1. What is the GCF of 10204 and 10212?

Answer: GCF of 10204 and 10212 is 4.

2. What are the Factors of 10204?

Answer: Factors of 10204 are 1, 2, 4, 2551, 5102, 10204. There are 6 integers that are factors of 10204. The greatest factor of 10204 is 10204.

3. What are the Factors of 10212?

Answer: Factors of 10212 are 1, 2, 3, 4, 6, 12, 23, 37, 46, 69, 74, 92, 111, 138, 148, 222, 276, 444, 851, 1702, 2553, 3404, 5106, 10212. There are 24 integers that are factors of 10212. The greatest factor of 10212 is 10212.

4. How to Find the GCF of 10204 and 10212?

Answer:

Greatest Common Factor of 10204 and 10212 = 4

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10212

10212 = 2 x 2 x 3 x 23 x 37

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 10204 and 10212 is 4