What is the Greatest Common Factor of 201 and 218?

Greatest common factor (GCF) of 201 and 218 is 1.

GCF(201,218) = 1

We will now calculate the prime factors of 201 and 218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 201 and 218.

How to find the GCF of 201 and 218?

We will first find the prime factorization of 201 and 218. After we will calculate the factors of 201 and 218 and find the biggest common factor number .

Step-1: Prime Factorization of 201

Prime factors of 201 are 3, 67. Prime factorization of 201 in exponential form is:

201 = 3¹ × 67¹

Step-2: Prime Factorization of 218

Prime factors of 218 are 2, 109. Prime factorization of 218 in exponential form is:

218 = 2¹ × 109¹

Step-3: Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1, 3, 67

Step-4: Factors of 218

List of positive integer factors of 218 that divides 201 without a remainder.

1, 2, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 201 and 218. The biggest common factor number is the GCF number.
So the greatest common factor 201 and 218 is 1.

Also check out the Least Common Multiple of 201 and 218