What is the Greatest Common Factor of 16644 and 16658?

Greatest common factor (GCF) of 16644 and 16658 is 2.

GCF(16644,16658) = 2

We will now calculate the prime factors of 16644 and 16658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16644 and 16658.

How to find the GCF of 16644 and 16658?

We will first find the prime factorization of 16644 and 16658. After we will calculate the factors of 16644 and 16658 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 16658

Prime factors of 16658 are 2, 8329. Prime factorization of 16658 in exponential form is:

16658 = 2¹ × 8329¹

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 16658

List of positive integer factors of 16658 that divides 16644 without a remainder.

1, 2, 8329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16644 and 16658. The biggest common factor number is the GCF number.
So the greatest common factor 16644 and 16658 is 2.

Also check out the Least Common Multiple of 16644 and 16658