What is the Greatest Common Factor of 3201 and 3216?

Greatest common factor (GCF) of 3201 and 3216 is 3.

GCF(3201,3216) = 3

We will now calculate the prime factors of 3201 and 3216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3201 and 3216.

How to find the GCF of 3201 and 3216?

We will first find the prime factorization of 3201 and 3216. After we will calculate the factors of 3201 and 3216 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 3216

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

3216 = 2⁴ × 3¹ × 67¹

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 3216

List of positive integer factors of 3216 that divides 3201 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3201 and 3216. The biggest common factor number is the GCF number.
So the greatest common factor 3201 and 3216 is 3.

Also check out the Least Common Multiple of 3201 and 3216