What is the Greatest Common Factor of 16338 and 16356?

Greatest common factor (GCF) of 16338 and 16356 is 6.

GCF(16338,16356) = 6

We will now calculate the prime factors of 16338 and 16356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16338 and 16356.

How to find the GCF of 16338 and 16356?

We will first find the prime factorization of 16338 and 16356. After we will calculate the factors of 16338 and 16356 and find the biggest common factor number .

Step-1: Prime Factorization of 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 2¹ × 3¹ × 7¹ × 389¹

Step-2: Prime Factorization of 16356

Prime factors of 16356 are 2, 3, 29, 47. Prime factorization of 16356 in exponential form is:

16356 = 2² × 3¹ × 29¹ × 47¹

Step-3: Factors of 16338

List of positive integer factors of 16338 that divides 16338 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169

Step-4: Factors of 16356

List of positive integer factors of 16356 that divides 16338 without a remainder.

1, 2, 3, 4, 6, 12, 29, 47, 58, 87, 94, 116, 141, 174, 188, 282, 348, 564, 1363, 2726, 4089, 5452, 8178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16338 and 16356. The biggest common factor number is the GCF number.
So the greatest common factor 16338 and 16356 is 6.

Also check out the Least Common Multiple of 16338 and 16356