What is the Greatest Common Factor of 16644 and 16652?

Greatest common factor (GCF) of 16644 and 16652 is 4.

GCF(16644,16652) = 4

We will now calculate the prime factors of 16644 and 16652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16644 and 16652.

How to find the GCF of 16644 and 16652?

We will first find the prime factorization of 16644 and 16652. After we will calculate the factors of 16644 and 16652 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 16652

Prime factors of 16652 are 2, 23, 181. Prime factorization of 16652 in exponential form is:

16652 = 2² × 23¹ × 181¹

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 16652

List of positive integer factors of 16652 that divides 16644 without a remainder.

1, 2, 4, 23, 46, 92, 181, 362, 724, 4163, 8326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16644 and 16652. The biggest common factor number is the GCF number.
So the greatest common factor 16644 and 16652 is 4.

Also check out the Least Common Multiple of 16644 and 16652