What is the Greatest Common Factor of 3240 and 3252?

Greatest common factor (GCF) of 3240 and 3252 is 12.

GCF(3240,3252) = 12

We will now calculate the prime factors of 3240 and 3252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3252.

How to find the GCF of 3240 and 3252?

We will first find the prime factorization of 3240 and 3252. After we will calculate the factors of 3240 and 3252 and find the biggest common factor number .

Step-1: Prime Factorization of 3240

Prime factors of 3240 are 2, 3, 5. Prime factorization of 3240 in exponential form is:

3240 = 2³ × 3⁴ × 5¹

Step-2: Prime Factorization of 3252

Prime factors of 3252 are 2, 3, 271. Prime factorization of 3252 in exponential form is:

3252 = 2² × 3¹ × 271¹

Step-3: Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620

Step-4: Factors of 3252

List of positive integer factors of 3252 that divides 3240 without a remainder.

1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3252. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3252 is 12.

Also check out the Least Common Multiple of 3240 and 3252