Greatest Common Factor of 10201 and 10203

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, 10203 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10201 and 10203 is 1.

GCF(10201,10203) = 1

GCF of 10201 and 10203

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

GCF of:
and

Greatest Common Factor of 10201 and 10203

GCF of 10201 and 10203 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 10203


3 10203
19 3401
179 179
1

Prime factors of 10203 are 3.Prime factorization of 10203 in exponential form is:

10203 = 31×191×1791

∴ So by taking common prime factors GCF of 10201 and 10203 is 1

Greatest Common Factor of 10201 and 10203 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 10203

List of positive integer factors of 10203 that divides 10203 without a remainder.

1,3,19,57,179,537,3401,10203

Greatest Common Factor

We found the factors and prime factorization of 10201 and 10203. The biggest common factor number is the GCF number.
So the greatest common factor 10201 and 10203 is 1.

Also check out the Least Common Multiple of 10201 and 10203

Properties of GCF 10201 and 10203

(i) The GCF of 10201 and 10203 is associative

GCF of 10201 and 10203 = GCF of 10203 and 10201

Related Greatest Common Factor of 10201

Related Greatest Common Factor of 10203

Frequently Asked Questions on GCF of 10201 and 10203

1. What is the GCF of 10201 and 10203?

Answer: GCF of 10201 and 10203 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 10203?

Answer: Factors of 10203 are 1, 3, 19, 57, 179, 537, 3401, 10203. There are 8 integers that are factors of 10203. The greatest factor of 10203 is 10203.

4. How to Find the GCF of 10201 and 10203?

Answer:

Greatest Common Factor of 10201 and 10203 = 1

Step 1: Find the prime factorization of 10201

10201 = 101 x 101

Step 2: Find the prime factorization of 10203

10203 = 3 x 19 x 179

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 10203 is 1