What is the Greatest Common Factor of 3200 and 3209?

Greatest common factor (GCF) of 3200 and 3209 is 1.

GCF(3200,3209) = 1

We will now calculate the prime factors of 3200 and 3209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3200 and 3209.

How to find the GCF of 3200 and 3209?

We will first find the prime factorization of 3200 and 3209. After we will calculate the factors of 3200 and 3209 and find the biggest common factor number .

Step-1: Prime Factorization of 3200

Prime factors of 3200 are 2, 5. Prime factorization of 3200 in exponential form is:

3200 = 2⁷ × 5²

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 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600

Step-4: Factors of 3209

List of positive integer factors of 3209 that divides 3200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3200 and 3209. The biggest common factor number is the GCF number.
So the greatest common factor 3200 and 3209 is 1.

Also check out the Least Common Multiple of 3200 and 3209