Greatest Common Factor of 10204 and 10208

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, 10208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10204 and 10208 is 4.

GCF(10204,10208) = 4

GCF of 10204 and 10208

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

GCF of:
and

Greatest Common Factor of 10204 and 10208

GCF of 10204 and 10208 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 10208


2 10208
2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 10208 are 2,11,29. Prime factorization of 10208 in exponential form is:

10208 = 25×111×291

∴ So by taking common prime factors GCF of 10204 and 10208 is 4

Greatest Common Factor of 10204 and 10208 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 10208

List of positive integer factors of 10208 that divides 10208 without a remainder.

1,2,4,8,11,16,22,29,32,44,58,88,116,176,232,319,352,464,638,928,1276,2552,5104,10208

Greatest Common Factor

We found the factors and prime factorization of 10204 and 10208. The biggest common factor number is the GCF number.
So the greatest common factor 10204 and 10208 is 4.

Also check out the Least Common Multiple of 10204 and 10208

Properties of GCF 10204 and 10208

(i) The GCF of 10204 and 10208 is associative

GCF of 10204 and 10208 = GCF of 10208 and 10204

Related Greatest Common Factor of 10204

Related Greatest Common Factor of 10208

Frequently Asked Questions on GCF of 10204 and 10208

1. What is the GCF of 10204 and 10208?

Answer: GCF of 10204 and 10208 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 10208?

Answer: Factors of 10208 are 1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 88, 116, 176, 232, 319, 352, 464, 638, 928, 1276, 2552, 5104, 10208. There are 24 integers that are factors of 10208. The greatest factor of 10208 is 10208.

4. How to Find the GCF of 10204 and 10208?

Answer:

Greatest Common Factor of 10204 and 10208 = 4

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10208

10208 = 2 x 2 x 2 x 2 x 2 x 11 x 29

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 10208 is 4