What is the Greatest Common Factor of 16374 and 16382?

Greatest common factor (GCF) of 16374 and 16382 is 2.

GCF(16374,16382) = 2

We will now calculate the prime factors of 16374 and 16382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16374 and 16382.

How to find the GCF of 16374 and 16382?

We will first find the prime factorization of 16374 and 16382. After we will calculate the factors of 16374 and 16382 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 16382

Prime factors of 16382 are 2, 8191. Prime factorization of 16382 in exponential form is:

16382 = 2¹ × 8191¹

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 16382

List of positive integer factors of 16382 that divides 16374 without a remainder.

1, 2, 8191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16374 and 16382. The biggest common factor number is the GCF number.
So the greatest common factor 16374 and 16382 is 2.

Also check out the Least Common Multiple of 16374 and 16382