Greatest Common Factor of 10201 and 10204

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 10201, 10204 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10201 and 10204 is 1.

GCF(10201,10204) = 1

GCF of 10201 and 10204

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

GCF of:
and

Greatest Common Factor of 10201 and 10204

GCF of 10201 and 10204 is 1

Prime Factorization of 10201


101 10201
101 101
1

Prime factors of 10201 are 101. Prime factorization of 10201 in exponential form is:

10201 = 1012

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

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

10204 = 22×25511

∴ So by taking common prime factors GCF of 10201 and 10204 is 1

Greatest Common Factor of 10201 and 10204 by matching factors method

Factors of 10201

List of positive integer factors of 10201 that divides 10201 without a remainder.

1,101,10201

Factors of 10204

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

1,2,4,2551,5102,10204

Greatest Common Factor

We found the factors and prime factorization of 10201 and 10204. The biggest common factor number is the GCF number.
So the greatest common factor 10201 and 10204 is 1.

Also check out the Least Common Multiple of 10201 and 10204

Properties of GCF 10201 and 10204

(i) The GCF of 10201 and 10204 is associative

GCF of 10201 and 10204 = GCF of 10204 and 10201

Related Greatest Common Factor of 10201

Related Greatest Common Factor of 10204

Frequently Asked Questions on GCF of 10201 and 10204

1. What is the GCF of 10201 and 10204?

Answer: GCF of 10201 and 10204 is 1.

2. What are the Factors of 10201?

Answer: Factors of 10201 are 1, 101, 10201. There are 3 integers that are factors of 10201. The greatest factor of 10201 is 10201.

3. 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.

4. How to Find the GCF of 10201 and 10204?

Answer:

Greatest Common Factor of 10201 and 10204 = 1

Step 1: Find the prime factorization of 10201

10201 = 101 x 101

Step 2: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

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 10201 and 10204 is 1