What is the Greatest Common Factor of 16146 and 16153?

Greatest common factor (GCF) of 16146 and 16153 is 1.

GCF(16146,16153) = 1

We will now calculate the prime factors of 16146 and 16153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16146 and 16153.

How to find the GCF of 16146 and 16153?

We will first find the prime factorization of 16146 and 16153. After we will calculate the factors of 16146 and 16153 and find the biggest common factor number .

Step-1: Prime Factorization of 16146

Prime factors of 16146 are 2, 3, 13, 23. Prime factorization of 16146 in exponential form is:

16146 = 2¹ × 3³ × 13¹ × 23¹

Step-2: Prime Factorization of 16153

Prime factors of 16153 are 29, 557. Prime factorization of 16153 in exponential form is:

16153 = 29¹ × 557¹

Step-3: Factors of 16146

List of positive integer factors of 16146 that divides 16146 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 117, 138, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1242, 1794, 2691, 5382, 8073

Step-4: Factors of 16153

List of positive integer factors of 16153 that divides 16146 without a remainder.

1, 29, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16146 and 16153. The biggest common factor number is the GCF number.
So the greatest common factor 16146 and 16153 is 1.

Also check out the Least Common Multiple of 16146 and 16153