What is the Greatest Common Factor of 16356 and 16374?

Greatest common factor (GCF) of 16356 and 16374 is 6.

GCF(16356,16374) = 6

We will now calculate the prime factors of 16356 and 16374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16356 and 16374.

How to find the GCF of 16356 and 16374?

We will first find the prime factorization of 16356 and 16374. After we will calculate the factors of 16356 and 16374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16374

Prime factors of 16374 are 2, 3, 2729. Prime factorization of 16374 in exponential form is:

16374 = 2¹ × 3¹ × 2729¹

Step-3: Factors of 16356

List of positive integer factors of 16356 that divides 16356 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

Step-4: Factors of 16374

List of positive integer factors of 16374 that divides 16356 without a remainder.

1, 2, 3, 6, 2729, 5458, 8187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16356 and 16374. The biggest common factor number is the GCF number.
So the greatest common factor 16356 and 16374 is 6.

Also check out the Least Common Multiple of 16356 and 16374