What is the Greatest Common Factor of 16775 and 16789?

Greatest common factor (GCF) of 16775 and 16789 is 1.

GCF(16775,16789) = 1

We will now calculate the prime factors of 16775 and 16789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16775 and 16789.

How to find the GCF of 16775 and 16789?

We will first find the prime factorization of 16775 and 16789. After we will calculate the factors of 16775 and 16789 and find the biggest common factor number .

Step-1: Prime Factorization of 16775

Prime factors of 16775 are 5, 11, 61. Prime factorization of 16775 in exponential form is:

16775 = 5² × 11¹ × 61¹

Step-2: Prime Factorization of 16789

Prime factors of 16789 are 103, 163. Prime factorization of 16789 in exponential form is:

16789 = 103¹ × 163¹

Step-3: Factors of 16775

List of positive integer factors of 16775 that divides 16775 without a remainder.

1, 5, 11, 25, 55, 61, 275, 305, 671, 1525, 3355

Step-4: Factors of 16789

List of positive integer factors of 16789 that divides 16775 without a remainder.

1, 103, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16775 and 16789. The biggest common factor number is the GCF number.
So the greatest common factor 16775 and 16789 is 1.

Also check out the Least Common Multiple of 16775 and 16789