What is the Greatest Common Factor of 16656 and 16674?

Greatest common factor (GCF) of 16656 and 16674 is 6.

GCF(16656,16674) = 6

We will now calculate the prime factors of 16656 and 16674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16656 and 16674.

How to find the GCF of 16656 and 16674?

We will first find the prime factorization of 16656 and 16674. After we will calculate the factors of 16656 and 16674 and find the biggest common factor number .

Step-1: Prime Factorization of 16656

Prime factors of 16656 are 2, 3, 347. Prime factorization of 16656 in exponential form is:

16656 = 2⁴ × 3¹ × 347¹

Step-2: Prime Factorization of 16674

Prime factors of 16674 are 2, 3, 7, 397. Prime factorization of 16674 in exponential form is:

16674 = 2¹ × 3¹ × 7¹ × 397¹

Step-3: Factors of 16656

List of positive integer factors of 16656 that divides 16656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 347, 694, 1041, 1388, 2082, 2776, 4164, 5552, 8328

Step-4: Factors of 16674

List of positive integer factors of 16674 that divides 16656 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 397, 794, 1191, 2382, 2779, 5558, 8337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16656 and 16674. The biggest common factor number is the GCF number.
So the greatest common factor 16656 and 16674 is 6.

Also check out the Least Common Multiple of 16656 and 16674