What is the Greatest Common Factor of 16654 and 16665?

Greatest common factor (GCF) of 16654 and 16665 is 11.

GCF(16654,16665) = 11

We will now calculate the prime factors of 16654 and 16665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16654 and 16665.

How to find the GCF of 16654 and 16665?

We will first find the prime factorization of 16654 and 16665. After we will calculate the factors of 16654 and 16665 and find the biggest common factor number .

Step-1: Prime Factorization of 16654

Prime factors of 16654 are 2, 11, 757. Prime factorization of 16654 in exponential form is:

16654 = 2¹ × 11¹ × 757¹

Step-2: 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-3: Factors of 16654

List of positive integer factors of 16654 that divides 16654 without a remainder.

1, 2, 11, 22, 757, 1514, 8327

Step-4: Factors of 16665

List of positive integer factors of 16665 that divides 16654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16654 and 16665. The biggest common factor number is the GCF number.
So the greatest common factor 16654 and 16665 is 11.

Also check out the Least Common Multiple of 16654 and 16665