What is the Greatest Common Factor of 3238 and 3258?

Greatest common factor (GCF) of 3238 and 3258 is 2.

GCF(3238,3258) = 2

We will now calculate the prime factors of 3238 and 3258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3238 and 3258.

How to find the GCF of 3238 and 3258?

We will first find the prime factorization of 3238 and 3258. After we will calculate the factors of 3238 and 3258 and find the biggest common factor number .

Step-1: Prime Factorization of 3238

Prime factors of 3238 are 2, 1619. Prime factorization of 3238 in exponential form is:

3238 = 2¹ × 1619¹

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 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1, 2, 1619

Step-4: Factors of 3258

List of positive integer factors of 3258 that divides 3238 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 3238 and 3258. The biggest common factor number is the GCF number.
So the greatest common factor 3238 and 3258 is 2.

Also check out the Least Common Multiple of 3238 and 3258