What is the Greatest Common Factor of 3250 and 3259?

Greatest common factor (GCF) of 3250 and 3259 is 1.

GCF(3250,3259) = 1

We will now calculate the prime factors of 3250 and 3259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3250 and 3259.

How to find the GCF of 3250 and 3259?

We will first find the prime factorization of 3250 and 3259. After we will calculate the factors of 3250 and 3259 and find the biggest common factor number .

Step-1: 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-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 3250

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

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

Step-4: Factors of 3259

List of positive integer factors of 3259 that divides 3250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3250 and 3259. The biggest common factor number is the GCF number.
So the greatest common factor 3250 and 3259 is 1.

Also check out the Least Common Multiple of 3250 and 3259