What is the Greatest Common Factor of 3213 and 3227?

Greatest common factor (GCF) of 3213 and 3227 is 7.

GCF(3213,3227) = 7

We will now calculate the prime factors of 3213 and 3227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3213 and 3227.

How to find the GCF of 3213 and 3227?

We will first find the prime factorization of 3213 and 3227. After we will calculate the factors of 3213 and 3227 and find the biggest common factor number .

Step-1: Prime Factorization of 3213

Prime factors of 3213 are 3, 7, 17. Prime factorization of 3213 in exponential form is:

3213 = 3³ × 7¹ × 17¹

Step-2: Prime Factorization of 3227

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

3227 = 7¹ × 461¹

Step-3: Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071

Step-4: Factors of 3227

List of positive integer factors of 3227 that divides 3213 without a remainder.

1, 7, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3213 and 3227. The biggest common factor number is the GCF number.
So the greatest common factor 3213 and 3227 is 7.

Also check out the Least Common Multiple of 3213 and 3227