What is the Greatest Common Factor of 3224 and 3237?

Greatest common factor (GCF) of 3224 and 3237 is 13.

GCF(3224,3237) = 13

We will now calculate the prime factors of 3224 and 3237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3224 and 3237.

How to find the GCF of 3224 and 3237?

We will first find the prime factorization of 3224 and 3237. After we will calculate the factors of 3224 and 3237 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 3237

Prime factors of 3237 are 3, 13, 83. Prime factorization of 3237 in exponential form is:

3237 = 3¹ × 13¹ × 83¹

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 3237

List of positive integer factors of 3237 that divides 3224 without a remainder.

1, 3, 13, 39, 83, 249, 1079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3224 and 3237. The biggest common factor number is the GCF number.
So the greatest common factor 3224 and 3237 is 13.

Also check out the Least Common Multiple of 3224 and 3237