What is the Greatest Common Factor of 16653 and 16662?

Greatest common factor (GCF) of 16653 and 16662 is 3.

GCF(16653,16662) = 3

We will now calculate the prime factors of 16653 and 16662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16653 and 16662.

How to find the GCF of 16653 and 16662?

We will first find the prime factorization of 16653 and 16662. After we will calculate the factors of 16653 and 16662 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16662

Prime factors of 16662 are 2, 3, 2777. Prime factorization of 16662 in exponential form is:

16662 = 2¹ × 3¹ × 2777¹

Step-3: Factors of 16653

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

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

Step-4: Factors of 16662

List of positive integer factors of 16662 that divides 16653 without a remainder.

1, 2, 3, 6, 2777, 5554, 8331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16653 and 16662. The biggest common factor number is the GCF number.
So the greatest common factor 16653 and 16662 is 3.

Also check out the Least Common Multiple of 16653 and 16662