What is the Greatest Common Factor of 16254 and 16260?

Greatest common factor (GCF) of 16254 and 16260 is 6.

GCF(16254,16260) = 6

We will now calculate the prime factors of 16254 and 16260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16254 and 16260.

How to find the GCF of 16254 and 16260?

We will first find the prime factorization of 16254 and 16260. After we will calculate the factors of 16254 and 16260 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 16260

Prime factors of 16260 are 2, 3, 5, 271. Prime factorization of 16260 in exponential form is:

16260 = 2² × 3¹ × 5¹ × 271¹

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 16260

List of positive integer factors of 16260 that divides 16254 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 271, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 8130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16254 and 16260. The biggest common factor number is the GCF number.
So the greatest common factor 16254 and 16260 is 6.

Also check out the Least Common Multiple of 16254 and 16260