What is the Greatest Common Factor of 3250 and 3258?

Greatest common factor (GCF) of 3250 and 3258 is 2.

GCF(3250,3258) = 2

We will now calculate the prime factors of 3250 and 3258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3250 and 3258.

How to find the GCF of 3250 and 3258?

We will first find the prime factorization of 3250 and 3258. After we will calculate the factors of 3250 and 3258 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 3258

Prime factors of 3258 are 2, 3, 181. Prime factorization of 3258 in exponential form is:

3258 = 2¹ × 3² × 181¹

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 3258

List of positive integer factors of 3258 that divides 3250 without a remainder.

1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3250 and 3258. The biggest common factor number is the GCF number.
So the greatest common factor 3250 and 3258 is 2.

Also check out the Least Common Multiple of 3250 and 3258