What is the Greatest Common Factor of 3201 and 3209?

Greatest common factor (GCF) of 3201 and 3209 is 1.

GCF(3201,3209) = 1

We will now calculate the prime factors of 3201 and 3209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3201 and 3209.

How to find the GCF of 3201 and 3209?

We will first find the prime factorization of 3201 and 3209. After we will calculate the factors of 3201 and 3209 and find the biggest common factor number .

Step-1: Prime Factorization of 3201

Prime factors of 3201 are 3, 11, 97. Prime factorization of 3201 in exponential form is:

3201 = 3¹ × 11¹ × 97¹

Step-2: Prime Factorization of 3209

Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:

3209 = 3209¹

Step-3: Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1, 3, 11, 33, 97, 291, 1067

Step-4: Factors of 3209

List of positive integer factors of 3209 that divides 3201 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3201 and 3209. The biggest common factor number is the GCF number.
So the greatest common factor 3201 and 3209 is 1.

Also check out the Least Common Multiple of 3201 and 3209