What is the Greatest Common Factor of 16665 and 16675?

Greatest common factor (GCF) of 16665 and 16675 is 5.

GCF(16665,16675) = 5

We will now calculate the prime factors of 16665 and 16675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16665 and 16675.

How to find the GCF of 16665 and 16675?

We will first find the prime factorization of 16665 and 16675. After we will calculate the factors of 16665 and 16675 and find the biggest common factor number .

Step-1: Prime Factorization of 16665

Prime factors of 16665 are 3, 5, 11, 101. Prime factorization of 16665 in exponential form is:

16665 = 3¹ × 5¹ × 11¹ × 101¹

Step-2: 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-3: Factors of 16665

List of positive integer factors of 16665 that divides 16665 without a remainder.

1, 3, 5, 11, 15, 33, 55, 101, 165, 303, 505, 1111, 1515, 3333, 5555

Step-4: Factors of 16675

List of positive integer factors of 16675 that divides 16665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16665 and 16675. The biggest common factor number is the GCF number.
So the greatest common factor 16665 and 16675 is 5.

Also check out the Least Common Multiple of 16665 and 16675