What is the Greatest Common Factor of 16692 and 16700?

Greatest common factor (GCF) of 16692 and 16700 is 4.

GCF(16692,16700) = 4

We will now calculate the prime factors of 16692 and 16700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16692 and 16700.

How to find the GCF of 16692 and 16700?

We will first find the prime factorization of 16692 and 16700. After we will calculate the factors of 16692 and 16700 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 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 2² × 5² × 167¹

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 16700

List of positive integer factors of 16700 that divides 16692 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 167, 334, 668, 835, 1670, 3340, 4175, 8350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16692 and 16700. The biggest common factor number is the GCF number.
So the greatest common factor 16692 and 16700 is 4.

Also check out the Least Common Multiple of 16692 and 16700