What is the Greatest Common Factor of 16224 and 16237?

Greatest common factor (GCF) of 16224 and 16237 is 13.

GCF(16224,16237) = 13

We will now calculate the prime factors of 16224 and 16237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16224 and 16237.

How to find the GCF of 16224 and 16237?

We will first find the prime factorization of 16224 and 16237. After we will calculate the factors of 16224 and 16237 and find the biggest common factor number .

Step-1: Prime Factorization of 16224

Prime factors of 16224 are 2, 3, 13. Prime factorization of 16224 in exponential form is:

16224 = 2⁵ × 3¹ × 13²

Step-2: Prime Factorization of 16237

Prime factors of 16237 are 13, 1249. Prime factorization of 16237 in exponential form is:

16237 = 13¹ × 1249¹

Step-3: Factors of 16224

List of positive integer factors of 16224 that divides 16224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 169, 208, 312, 338, 416, 507, 624, 676, 1014, 1248, 1352, 2028, 2704, 4056, 5408, 8112

Step-4: Factors of 16237

List of positive integer factors of 16237 that divides 16224 without a remainder.

1, 13, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16224 and 16237. The biggest common factor number is the GCF number.
So the greatest common factor 16224 and 16237 is 13.

Also check out the Least Common Multiple of 16224 and 16237