What is the Greatest Common Factor of 16665 and 16677?

Greatest common factor (GCF) of 16665 and 16677 is 3.

GCF(16665,16677) = 3

We will now calculate the prime factors of 16665 and 16677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16665 and 16677.

How to find the GCF of 16665 and 16677?

We will first find the prime factorization of 16665 and 16677. After we will calculate the factors of 16665 and 16677 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 16677

Prime factors of 16677 are 3, 17, 109. Prime factorization of 16677 in exponential form is:

16677 = 3² × 17¹ × 109¹

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 16677

List of positive integer factors of 16677 that divides 16665 without a remainder.

1, 3, 9, 17, 51, 109, 153, 327, 981, 1853, 5559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16665 and 16677. The biggest common factor number is the GCF number.
So the greatest common factor 16665 and 16677 is 3.

Also check out the Least Common Multiple of 16665 and 16677