What is the Greatest Common Factor of 16289 and 16300?

Greatest common factor (GCF) of 16289 and 16300 is 1.

GCF(16289,16300) = 1

We will now calculate the prime factors of 16289 and 16300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16289 and 16300.

How to find the GCF of 16289 and 16300?

We will first find the prime factorization of 16289 and 16300. After we will calculate the factors of 16289 and 16300 and find the biggest common factor number .

Step-1: Prime Factorization of 16289

Prime factors of 16289 are 7, 13, 179. Prime factorization of 16289 in exponential form is:

16289 = 7¹ × 13¹ × 179¹

Step-2: Prime Factorization of 16300

Prime factors of 16300 are 2, 5, 163. Prime factorization of 16300 in exponential form is:

16300 = 2² × 5² × 163¹

Step-3: Factors of 16289

List of positive integer factors of 16289 that divides 16289 without a remainder.

1, 7, 13, 91, 179, 1253, 2327

Step-4: Factors of 16300

List of positive integer factors of 16300 that divides 16289 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 163, 326, 652, 815, 1630, 3260, 4075, 8150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16289 and 16300. The biggest common factor number is the GCF number.
So the greatest common factor 16289 and 16300 is 1.

Also check out the Least Common Multiple of 16289 and 16300