What is the Greatest Common Factor of 16101 and 16107?

Greatest common factor (GCF) of 16101 and 16107 is 3.

GCF(16101,16107) = 3

We will now calculate the prime factors of 16101 and 16107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16101 and 16107.

How to find the GCF of 16101 and 16107?

We will first find the prime factorization of 16101 and 16107. After we will calculate the factors of 16101 and 16107 and find the biggest common factor number .

Step-1: Prime Factorization of 16101

Prime factors of 16101 are 3, 1789. Prime factorization of 16101 in exponential form is:

16101 = 3² × 1789¹

Step-2: Prime Factorization of 16107

Prime factors of 16107 are 3, 7, 13, 59. Prime factorization of 16107 in exponential form is:

16107 = 3¹ × 7¹ × 13¹ × 59¹

Step-3: Factors of 16101

List of positive integer factors of 16101 that divides 16101 without a remainder.

1, 3, 9, 1789, 5367

Step-4: Factors of 16107

List of positive integer factors of 16107 that divides 16101 without a remainder.

1, 3, 7, 13, 21, 39, 59, 91, 177, 273, 413, 767, 1239, 2301, 5369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16101 and 16107. The biggest common factor number is the GCF number.
So the greatest common factor 16101 and 16107 is 3.

Also check out the Least Common Multiple of 16101 and 16107