What is the Greatest Common Factor of 3210 and 3225?

Greatest common factor (GCF) of 3210 and 3225 is 15.

GCF(3210,3225) = 15

We will now calculate the prime factors of 3210 and 3225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3210 and 3225.

How to find the GCF of 3210 and 3225?

We will first find the prime factorization of 3210 and 3225. After we will calculate the factors of 3210 and 3225 and find the biggest common factor number .

Step-1: Prime Factorization of 3210

Prime factors of 3210 are 2, 3, 5, 107. Prime factorization of 3210 in exponential form is:

3210 = 2¹ × 3¹ × 5¹ × 107¹

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 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605

Step-4: Factors of 3225

List of positive integer factors of 3225 that divides 3210 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 3210 and 3225. The biggest common factor number is the GCF number.
So the greatest common factor 3210 and 3225 is 15.

Also check out the Least Common Multiple of 3210 and 3225