What is the Greatest Common Factor of 3216 and 3225?

Greatest common factor (GCF) of 3216 and 3225 is 3.

GCF(3216,3225) = 3

We will now calculate the prime factors of 3216 and 3225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3216 and 3225.

How to find the GCF of 3216 and 3225?

We will first find the prime factorization of 3216 and 3225. After we will calculate the factors of 3216 and 3225 and find the biggest common factor number .

Step-1: Prime Factorization of 3216

Prime factors of 3216 are 2, 3, 67. Prime factorization of 3216 in exponential form is:

3216 = 2⁴ × 3¹ × 67¹

Step-2: Prime Factorization of 3225

Prime factors of 3225 are 3, 5, 43. Prime factorization of 3225 in exponential form is:

3225 = 3¹ × 5² × 43¹

Step-3: Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608

Step-4: Factors of 3225

List of positive integer factors of 3225 that divides 3216 without a remainder.

1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3216 and 3225. The biggest common factor number is the GCF number.
So the greatest common factor 3216 and 3225 is 3.

Also check out the Least Common Multiple of 3216 and 3225