What is the Greatest Common Factor of 16674 and 16688?

Greatest common factor (GCF) of 16674 and 16688 is 14.

GCF(16674,16688) = 14

We will now calculate the prime factors of 16674 and 16688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16674 and 16688.

How to find the GCF of 16674 and 16688?

We will first find the prime factorization of 16674 and 16688. After we will calculate the factors of 16674 and 16688 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16688

Prime factors of 16688 are 2, 7, 149. Prime factorization of 16688 in exponential form is:

16688 = 2⁴ × 7¹ × 149¹

Step-3: Factors of 16674

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

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

Step-4: Factors of 16688

List of positive integer factors of 16688 that divides 16674 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086, 2384, 4172, 8344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16674 and 16688. The biggest common factor number is the GCF number.
So the greatest common factor 16674 and 16688 is 14.

Also check out the Least Common Multiple of 16674 and 16688