What is the Greatest Common Factor of 16254 and 16261?

Greatest common factor (GCF) of 16254 and 16261 is 7.

GCF(16254,16261) = 7

We will now calculate the prime factors of 16254 and 16261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16254 and 16261.

How to find the GCF of 16254 and 16261?

We will first find the prime factorization of 16254 and 16261. After we will calculate the factors of 16254 and 16261 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 16261

Prime factors of 16261 are 7, 23, 101. Prime factorization of 16261 in exponential form is:

16261 = 7¹ × 23¹ × 101¹

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 16261

List of positive integer factors of 16261 that divides 16254 without a remainder.

1, 7, 23, 101, 161, 707, 2323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16254 and 16261. The biggest common factor number is the GCF number.
So the greatest common factor 16254 and 16261 is 7.

Also check out the Least Common Multiple of 16254 and 16261