What is the Greatest Common Factor of 16675 and 16687?

Greatest common factor (GCF) of 16675 and 16687 is 1.

GCF(16675,16687) = 1

We will now calculate the prime factors of 16675 and 16687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16675 and 16687.

How to find the GCF of 16675 and 16687?

We will first find the prime factorization of 16675 and 16687. After we will calculate the factors of 16675 and 16687 and find the biggest common factor number .

Step-1: Prime Factorization of 16675

Prime factors of 16675 are 5, 23, 29. Prime factorization of 16675 in exponential form is:

16675 = 5² × 23¹ × 29¹

Step-2: Prime Factorization of 16687

Prime factors of 16687 are 11, 37, 41. Prime factorization of 16687 in exponential form is:

16687 = 11¹ × 37¹ × 41¹

Step-3: Factors of 16675

List of positive integer factors of 16675 that divides 16675 without a remainder.

1, 5, 23, 25, 29, 115, 145, 575, 667, 725, 3335

Step-4: Factors of 16687

List of positive integer factors of 16687 that divides 16675 without a remainder.

1, 11, 37, 41, 407, 451, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16675 and 16687. The biggest common factor number is the GCF number.
So the greatest common factor 16675 and 16687 is 1.

Also check out the Least Common Multiple of 16675 and 16687