What is the Greatest Common Factor of 16638 and 16653?

Greatest common factor (GCF) of 16638 and 16653 is 3.

GCF(16638,16653) = 3

We will now calculate the prime factors of 16638 and 16653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16638 and 16653.

How to find the GCF of 16638 and 16653?

We will first find the prime factorization of 16638 and 16653. After we will calculate the factors of 16638 and 16653 and find the biggest common factor number .

Step-1: Prime Factorization of 16638

Prime factors of 16638 are 2, 3, 47, 59. Prime factorization of 16638 in exponential form is:

16638 = 2¹ × 3¹ × 47¹ × 59¹

Step-2: Prime Factorization of 16653

Prime factors of 16653 are 3, 7, 13, 61. Prime factorization of 16653 in exponential form is:

16653 = 3¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 16638

List of positive integer factors of 16638 that divides 16638 without a remainder.

1, 2, 3, 6, 47, 59, 94, 118, 141, 177, 282, 354, 2773, 5546, 8319

Step-4: Factors of 16653

List of positive integer factors of 16653 that divides 16638 without a remainder.

1, 3, 7, 13, 21, 39, 61, 91, 183, 273, 427, 793, 1281, 2379, 5551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16638 and 16653. The biggest common factor number is the GCF number.
So the greatest common factor 16638 and 16653 is 3.

Also check out the Least Common Multiple of 16638 and 16653