What is the Greatest Common Factor of 3224 and 3242?

Greatest common factor (GCF) of 3224 and 3242 is 2.

GCF(3224,3242) = 2

We will now calculate the prime factors of 3224 and 3242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3224 and 3242.

How to find the GCF of 3224 and 3242?

We will first find the prime factorization of 3224 and 3242. After we will calculate the factors of 3224 and 3242 and find the biggest common factor number .

Step-1: Prime Factorization of 3224

Prime factors of 3224 are 2, 13, 31. Prime factorization of 3224 in exponential form is:

3224 = 2³ × 13¹ × 31¹

Step-2: Prime Factorization of 3242

Prime factors of 3242 are 2, 1621. Prime factorization of 3242 in exponential form is:

3242 = 2¹ × 1621¹

Step-3: Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612

Step-4: Factors of 3242

List of positive integer factors of 3242 that divides 3224 without a remainder.

1, 2, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3224 and 3242. The biggest common factor number is the GCF number.
So the greatest common factor 3224 and 3242 is 2.

Also check out the Least Common Multiple of 3224 and 3242