What is the Greatest Common Factor of 16643 and 16654?

Greatest common factor (GCF) of 16643 and 16654 is 11.

GCF(16643,16654) = 11

We will now calculate the prime factors of 16643 and 16654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16643 and 16654.

How to find the GCF of 16643 and 16654?

We will first find the prime factorization of 16643 and 16654. After we will calculate the factors of 16643 and 16654 and find the biggest common factor number .

Step-1: Prime Factorization of 16643

Prime factors of 16643 are 11, 17, 89. Prime factorization of 16643 in exponential form is:

16643 = 11¹ × 17¹ × 89¹

Step-2: 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-3: Factors of 16643

List of positive integer factors of 16643 that divides 16643 without a remainder.

1, 11, 17, 89, 187, 979, 1513

Step-4: Factors of 16654

List of positive integer factors of 16654 that divides 16643 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16643 and 16654. The biggest common factor number is the GCF number.
So the greatest common factor 16643 and 16654 is 11.

Also check out the Least Common Multiple of 16643 and 16654