What is the Greatest Common Factor of 16374 and 16386?

Greatest common factor (GCF) of 16374 and 16386 is 6.

GCF(16374,16386) = 6

We will now calculate the prime factors of 16374 and 16386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16374 and 16386.

How to find the GCF of 16374 and 16386?

We will first find the prime factorization of 16374 and 16386. After we will calculate the factors of 16374 and 16386 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16386

Prime factors of 16386 are 2, 3, 2731. Prime factorization of 16386 in exponential form is:

16386 = 2¹ × 3¹ × 2731¹

Step-3: Factors of 16374

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

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

Step-4: Factors of 16386

List of positive integer factors of 16386 that divides 16374 without a remainder.

1, 2, 3, 6, 2731, 5462, 8193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16374 and 16386. The biggest common factor number is the GCF number.
So the greatest common factor 16374 and 16386 is 6.

Also check out the Least Common Multiple of 16374 and 16386