What is the Greatest Common Factor of 3240 and 3250?

Greatest common factor (GCF) of 3240 and 3250 is 10.

GCF(3240,3250) = 10

We will now calculate the prime factors of 3240 and 3250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3240 and 3250.

How to find the GCF of 3240 and 3250?

We will first find the prime factorization of 3240 and 3250. After we will calculate the factors of 3240 and 3250 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 3250

Prime factors of 3250 are 2, 5, 13. Prime factorization of 3250 in exponential form is:

3250 = 2¹ × 5³ × 13¹

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 3250

List of positive integer factors of 3250 that divides 3240 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3240 and 3250. The biggest common factor number is the GCF number.
So the greatest common factor 3240 and 3250 is 10.

Also check out the Least Common Multiple of 3240 and 3250