What is the Greatest Common Factor of 3200 and 3220?

Greatest common factor (GCF) of 3200 and 3220 is 20.

GCF(3200,3220) = 20

We will now calculate the prime factors of 3200 and 3220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3200 and 3220.

How to find the GCF of 3200 and 3220?

We will first find the prime factorization of 3200 and 3220. After we will calculate the factors of 3200 and 3220 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 3220

Prime factors of 3220 are 2, 5, 7, 23. Prime factorization of 3220 in exponential form is:

3220 = 2² × 5¹ × 7¹ × 23¹

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 3220

List of positive integer factors of 3220 that divides 3200 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3200 and 3220. The biggest common factor number is the GCF number.
So the greatest common factor 3200 and 3220 is 20.

Also check out the Least Common Multiple of 3200 and 3220