What is the Greatest Common Factor of 3227 and 3234?

Greatest common factor (GCF) of 3227 and 3234 is 7.

GCF(3227,3234) = 7

We will now calculate the prime factors of 3227 and 3234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3227 and 3234.

How to find the GCF of 3227 and 3234?

We will first find the prime factorization of 3227 and 3234. After we will calculate the factors of 3227 and 3234 and find the biggest common factor number .

Step-1: Prime Factorization of 3227

Prime factors of 3227 are 7, 461. Prime factorization of 3227 in exponential form is:

3227 = 7¹ × 461¹

Step-2: Prime Factorization of 3234

Prime factors of 3234 are 2, 3, 7, 11. Prime factorization of 3234 in exponential form is:

3234 = 2¹ × 3¹ × 7² × 11¹

Step-3: Factors of 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1, 7, 461

Step-4: Factors of 3234

List of positive integer factors of 3234 that divides 3227 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3227 and 3234. The biggest common factor number is the GCF number.
So the greatest common factor 3227 and 3234 is 7.

Also check out the Least Common Multiple of 3227 and 3234