What is the Greatest Common Factor of 3240 and 3253?

Greatest common factor (GCF) of 3240 and 3253 is 1.

GCF(3240,3253) = 1

We will now calculate the prime factors of 3240 and 3253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3253.

How to find the GCF of 3240 and 3253?

We will first find the prime factorization of 3240 and 3253. After we will calculate the factors of 3240 and 3253 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 3253

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 3253¹

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 3253

List of positive integer factors of 3253 that divides 3240 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3253. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3253 is 1.

Also check out the Least Common Multiple of 3240 and 3253