What is the Greatest Common Factor of 16289 and 16307?

Greatest common factor (GCF) of 16289 and 16307 is 1.

GCF(16289,16307) = 1

We will now calculate the prime factors of 16289 and 16307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16289 and 16307.

How to find the GCF of 16289 and 16307?

We will first find the prime factorization of 16289 and 16307. After we will calculate the factors of 16289 and 16307 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 16307

Prime factors of 16307 are 23, 709. Prime factorization of 16307 in exponential form is:

16307 = 23¹ × 709¹

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 16307

List of positive integer factors of 16307 that divides 16289 without a remainder.

1, 23, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16289 and 16307. The biggest common factor number is the GCF number.
So the greatest common factor 16289 and 16307 is 1.

Also check out the Least Common Multiple of 16289 and 16307