What is the Greatest Common Factor of 3240 and 3259?

Greatest common factor (GCF) of 3240 and 3259 is 1.

GCF(3240,3259) = 1

We will now calculate the prime factors of 3240 and 3259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3259.

How to find the GCF of 3240 and 3259?

We will first find the prime factorization of 3240 and 3259. After we will calculate the factors of 3240 and 3259 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 3259

Prime factors of 3259 are 3259. Prime factorization of 3259 in exponential form is:

3259 = 3259¹

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 3259

List of positive integer factors of 3259 that divides 3240 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3259. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3259 is 1.

Also check out the Least Common Multiple of 3240 and 3259