What is the Greatest Common Factor of 3215 and 3223?

Greatest common factor (GCF) of 3215 and 3223 is 1.

GCF(3215,3223) = 1

We will now calculate the prime factors of 3215 and 3223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3215 and 3223.

How to find the GCF of 3215 and 3223?

We will first find the prime factorization of 3215 and 3223. After we will calculate the factors of 3215 and 3223 and find the biggest common factor number .

Step-1: Prime Factorization of 3215

Prime factors of 3215 are 5, 643. Prime factorization of 3215 in exponential form is:

3215 = 5¹ × 643¹

Step-2: Prime Factorization of 3223

Prime factors of 3223 are 11, 293. Prime factorization of 3223 in exponential form is:

3223 = 11¹ × 293¹

Step-3: Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1, 5, 643

Step-4: Factors of 3223

List of positive integer factors of 3223 that divides 3215 without a remainder.

1, 11, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3215 and 3223. The biggest common factor number is the GCF number.
So the greatest common factor 3215 and 3223 is 1.

Also check out the Least Common Multiple of 3215 and 3223