What is the Greatest Common Factor of 16652 and 16666?

Greatest common factor (GCF) of 16652 and 16666 is 2.

GCF(16652,16666) = 2

We will now calculate the prime factors of 16652 and 16666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16652 and 16666.

How to find the GCF of 16652 and 16666?

We will first find the prime factorization of 16652 and 16666. After we will calculate the factors of 16652 and 16666 and find the biggest common factor number .

Step-1: Prime Factorization of 16652

Prime factors of 16652 are 2, 23, 181. Prime factorization of 16652 in exponential form is:

16652 = 2² × 23¹ × 181¹

Step-2: Prime Factorization of 16666

Prime factors of 16666 are 2, 13, 641. Prime factorization of 16666 in exponential form is:

16666 = 2¹ × 13¹ × 641¹

Step-3: Factors of 16652

List of positive integer factors of 16652 that divides 16652 without a remainder.

1, 2, 4, 23, 46, 92, 181, 362, 724, 4163, 8326

Step-4: Factors of 16666

List of positive integer factors of 16666 that divides 16652 without a remainder.

1, 2, 13, 26, 641, 1282, 8333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16652 and 16666. The biggest common factor number is the GCF number.
So the greatest common factor 16652 and 16666 is 2.

Also check out the Least Common Multiple of 16652 and 16666