What is the Greatest Common Factor of 16204 and 16224?

Greatest common factor (GCF) of 16204 and 16224 is 4.

GCF(16204,16224) = 4

We will now calculate the prime factors of 16204 and 16224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16204 and 16224.

How to find the GCF of 16204 and 16224?

We will first find the prime factorization of 16204 and 16224. After we will calculate the factors of 16204 and 16224 and find the biggest common factor number .

Step-1: Prime Factorization of 16204

Prime factors of 16204 are 2, 4051. Prime factorization of 16204 in exponential form is:

16204 = 2² × 4051¹

Step-2: 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-3: Factors of 16204

List of positive integer factors of 16204 that divides 16204 without a remainder.

1, 2, 4, 4051, 8102

Step-4: Factors of 16224

List of positive integer factors of 16224 that divides 16204 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16204 and 16224. The biggest common factor number is the GCF number.
So the greatest common factor 16204 and 16224 is 4.

Also check out the Least Common Multiple of 16204 and 16224