What is the Greatest Common Factor of 16692 and 16707?

Greatest common factor (GCF) of 16692 and 16707 is 3.

GCF(16692,16707) = 3

We will now calculate the prime factors of 16692 and 16707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16692 and 16707.

How to find the GCF of 16692 and 16707?

We will first find the prime factorization of 16692 and 16707. After we will calculate the factors of 16692 and 16707 and find the biggest common factor number .

Step-1: Prime Factorization of 16692

Prime factors of 16692 are 2, 3, 13, 107. Prime factorization of 16692 in exponential form is:

16692 = 2² × 3¹ × 13¹ × 107¹

Step-2: Prime Factorization of 16707

Prime factors of 16707 are 3, 5569. Prime factorization of 16707 in exponential form is:

16707 = 3¹ × 5569¹

Step-3: Factors of 16692

List of positive integer factors of 16692 that divides 16692 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 107, 156, 214, 321, 428, 642, 1284, 1391, 2782, 4173, 5564, 8346

Step-4: Factors of 16707

List of positive integer factors of 16707 that divides 16692 without a remainder.

1, 3, 5569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16692 and 16707. The biggest common factor number is the GCF number.
So the greatest common factor 16692 and 16707 is 3.

Also check out the Least Common Multiple of 16692 and 16707