What is the Greatest Common Factor of 3234 and 3240?

Greatest common factor (GCF) of 3234 and 3240 is 6.

GCF(3234,3240) = 6

We will now calculate the prime factors of 3234 and 3240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3234 and 3240.

How to find the GCF of 3234 and 3240?

We will first find the prime factorization of 3234 and 3240. After we will calculate the factors of 3234 and 3240 and find the biggest common factor number .

Step-1: Prime Factorization of 3234

Prime factors of 3234 are 2, 3, 7, 11. Prime factorization of 3234 in exponential form is:

3234 = 2¹ × 3¹ × 7² × 11¹

Step-2: 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-3: Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617

Step-4: Factors of 3240

List of positive integer factors of 3240 that divides 3234 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3234 and 3240. The biggest common factor number is the GCF number.
So the greatest common factor 3234 and 3240 is 6.

Also check out the Least Common Multiple of 3234 and 3240