What is the Greatest Common Factor of 16653 and 16667?

Greatest common factor (GCF) of 16653 and 16667 is 7.

GCF(16653,16667) = 7

We will now calculate the prime factors of 16653 and 16667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16653 and 16667.

How to find the GCF of 16653 and 16667?

We will first find the prime factorization of 16653 and 16667. After we will calculate the factors of 16653 and 16667 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 16667

Prime factors of 16667 are 7, 2381. Prime factorization of 16667 in exponential form is:

16667 = 7¹ × 2381¹

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 16667

List of positive integer factors of 16667 that divides 16653 without a remainder.

1, 7, 2381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16653 and 16667. The biggest common factor number is the GCF number.
So the greatest common factor 16653 and 16667 is 7.

Also check out the Least Common Multiple of 16653 and 16667