What is the Greatest Common Factor of 16053 and 16059?

Greatest common factor (GCF) of 16053 and 16059 is 3.

GCF(16053,16059) = 3

We will now calculate the prime factors of 16053 and 16059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16053 and 16059.

How to find the GCF of 16053 and 16059?

We will first find the prime factorization of 16053 and 16059. After we will calculate the factors of 16053 and 16059 and find the biggest common factor number .

Step-1: Prime Factorization of 16053

Prime factors of 16053 are 3, 5351. Prime factorization of 16053 in exponential form is:

16053 = 3¹ × 5351¹

Step-2: Prime Factorization of 16059

Prime factors of 16059 are 3, 53, 101. Prime factorization of 16059 in exponential form is:

16059 = 3¹ × 53¹ × 101¹

Step-3: Factors of 16053

List of positive integer factors of 16053 that divides 16053 without a remainder.

1, 3, 5351

Step-4: Factors of 16059

List of positive integer factors of 16059 that divides 16053 without a remainder.

1, 3, 53, 101, 159, 303, 5353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16053 and 16059. The biggest common factor number is the GCF number.
So the greatest common factor 16053 and 16059 is 3.

Also check out the Least Common Multiple of 16053 and 16059