What is the Greatest Common Factor of 16644 and 16663?

Greatest common factor (GCF) of 16644 and 16663 is 19.

GCF(16644,16663) = 19

We will now calculate the prime factors of 16644 and 16663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16644 and 16663.

How to find the GCF of 16644 and 16663?

We will first find the prime factorization of 16644 and 16663. After we will calculate the factors of 16644 and 16663 and find the biggest common factor number .

Step-1: Prime Factorization of 16644

Prime factors of 16644 are 2, 3, 19, 73. Prime factorization of 16644 in exponential form is:

16644 = 2² × 3¹ × 19¹ × 73¹

Step-2: Prime Factorization of 16663

Prime factors of 16663 are 19, 877. Prime factorization of 16663 in exponential form is:

16663 = 19¹ × 877¹

Step-3: Factors of 16644

List of positive integer factors of 16644 that divides 16644 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 73, 76, 114, 146, 219, 228, 292, 438, 876, 1387, 2774, 4161, 5548, 8322

Step-4: Factors of 16663

List of positive integer factors of 16663 that divides 16644 without a remainder.

1, 19, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16644 and 16663. The biggest common factor number is the GCF number.
So the greatest common factor 16644 and 16663 is 19.

Also check out the Least Common Multiple of 16644 and 16663