What is the Greatest Common Factor of 16688 and 16692?

Greatest common factor (GCF) of 16688 and 16692 is 4.

GCF(16688,16692) = 4

We will now calculate the prime factors of 16688 and 16692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16688 and 16692.

How to find the GCF of 16688 and 16692?

We will first find the prime factorization of 16688 and 16692. After we will calculate the factors of 16688 and 16692 and find the biggest common factor number .

Step-1: Prime Factorization of 16688

Prime factors of 16688 are 2, 7, 149. Prime factorization of 16688 in exponential form is:

16688 = 2⁴ × 7¹ × 149¹

Step-2: 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-3: Factors of 16688

List of positive integer factors of 16688 that divides 16688 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086, 2384, 4172, 8344

Step-4: Factors of 16692

List of positive integer factors of 16692 that divides 16688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16688 and 16692. The biggest common factor number is the GCF number.
So the greatest common factor 16688 and 16692 is 4.

Also check out the Least Common Multiple of 16688 and 16692