What is the Greatest Common Factor of 10201 and 10212?

Greatest common factor (GCF) of 10201 and 10212 is 1.

GCF(10201,10212) = 1

We will now calculate the prime factors of 10201 and 10212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10201 and 10212.

How to find the GCF of 10201 and 10212?

We will first find the prime factorization of 10201 and 10212. After we will calculate the factors of 10201 and 10212 and find the biggest common factor number .

Step-1: Prime Factorization of 10201

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

10201 = 101²

Step-2: Prime Factorization of 10212

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

10212 = 2² × 3¹ × 23¹ × 37¹

Step-3: Factors of 10201

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

1, 101

Step-4: Factors of 10212

List of positive integer factors of 10212 that divides 10201 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10201 and 10212. The biggest common factor number is the GCF number.
So the greatest common factor 10201 and 10212 is 1.

Also check out the Least Common Multiple of 10201 and 10212