What is the Greatest Common Factor of 3240 and 3254?

Greatest common factor (GCF) of 3240 and 3254 is 2.

GCF(3240,3254) = 2

We will now calculate the prime factors of 3240 and 3254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3254.

How to find the GCF of 3240 and 3254?

We will first find the prime factorization of 3240 and 3254. After we will calculate the factors of 3240 and 3254 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 3254

Prime factors of 3254 are 2, 1627. Prime factorization of 3254 in exponential form is:

3254 = 2¹ × 1627¹

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 3254

List of positive integer factors of 3254 that divides 3240 without a remainder.

1, 2, 1627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3254. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3254 is 2.

Also check out the Least Common Multiple of 3240 and 3254