What is the Greatest Common Factor of 16254 and 16268?

Greatest common factor (GCF) of 16254 and 16268 is 14.

GCF(16254,16268) = 14

We will now calculate the prime factors of 16254 and 16268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16254 and 16268.

How to find the GCF of 16254 and 16268?

We will first find the prime factorization of 16254 and 16268. After we will calculate the factors of 16254 and 16268 and find the biggest common factor number .

Step-1: Prime Factorization of 16254

Prime factors of 16254 are 2, 3, 7, 43. Prime factorization of 16254 in exponential form is:

16254 = 2¹ × 3³ × 7¹ × 43¹

Step-2: Prime Factorization of 16268

Prime factors of 16268 are 2, 7, 83. Prime factorization of 16268 in exponential form is:

16268 = 2² × 7² × 83¹

Step-3: Factors of 16254

List of positive integer factors of 16254 that divides 16254 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 86, 126, 129, 189, 258, 301, 378, 387, 602, 774, 903, 1161, 1806, 2322, 2709, 5418, 8127

Step-4: Factors of 16268

List of positive integer factors of 16268 that divides 16254 without a remainder.

1, 2, 4, 7, 14, 28, 49, 83, 98, 166, 196, 332, 581, 1162, 2324, 4067, 8134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16254 and 16268. The biggest common factor number is the GCF number.
So the greatest common factor 16254 and 16268 is 14.

Also check out the Least Common Multiple of 16254 and 16268