What is the Greatest Common Factor of 10189 and 10201?

Greatest common factor (GCF) of 10189 and 10201 is 1.

GCF(10189,10201) = 1

We will now calculate the prime factors of 10189 and 10201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10189 and 10201.

How to find the GCF of 10189 and 10201?

We will first find the prime factorization of 10189 and 10201. After we will calculate the factors of 10189 and 10201 and find the biggest common factor number .

Step-1: Prime Factorization of 10189

Prime factors of 10189 are 23, 443. Prime factorization of 10189 in exponential form is:

10189 = 23¹ × 443¹

Step-2: Prime Factorization of 10201

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

10201 = 101²

Step-3: Factors of 10189

List of positive integer factors of 10189 that divides 10189 without a remainder.

1, 23, 443

Step-4: Factors of 10201

List of positive integer factors of 10201 that divides 10189 without a remainder.

1, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10189 and 10201. The biggest common factor number is the GCF number.
So the greatest common factor 10189 and 10201 is 1.

Also check out the Least Common Multiple of 10189 and 10201