What is the Greatest Common Factor of 221 and 234?

Greatest common factor (GCF) of 221 and 234 is 13.

GCF(221,234) = 13

We will now calculate the prime factors of 221 and 234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 221 and 234.

How to find the GCF of 221 and 234?

We will first find the prime factorization of 221 and 234. After we will calculate the factors of 221 and 234 and find the biggest common factor number .

Step-1: Prime Factorization of 221

Prime factors of 221 are 13, 17. Prime factorization of 221 in exponential form is:

221 = 13¹ × 17¹

Step-2: Prime Factorization of 234

Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:

234 = 2¹ × 3² × 13¹

Step-3: Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17

Step-4: Factors of 234

List of positive integer factors of 234 that divides 221 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 221 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 221 and 234 is 13.

Also check out the Least Common Multiple of 221 and 234