What is the Greatest Common Factor of 16959 and 16974?

Greatest common factor (GCF) of 16959 and 16974 is 3.

GCF(16959,16974) = 3

We will now calculate the prime factors of 16959 and 16974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16959 and 16974.

How to find the GCF of 16959 and 16974?

We will first find the prime factorization of 16959 and 16974. After we will calculate the factors of 16959 and 16974 and find the biggest common factor number .

Step-1: Prime Factorization of 16959

Prime factors of 16959 are 3, 5653. Prime factorization of 16959 in exponential form is:

16959 = 3¹ × 5653¹

Step-2: Prime Factorization of 16974

Prime factors of 16974 are 2, 3, 23, 41. Prime factorization of 16974 in exponential form is:

16974 = 2¹ × 3² × 23¹ × 41¹

Step-3: Factors of 16959

List of positive integer factors of 16959 that divides 16959 without a remainder.

1, 3, 5653

Step-4: Factors of 16974

List of positive integer factors of 16974 that divides 16959 without a remainder.

1, 2, 3, 6, 9, 18, 23, 41, 46, 69, 82, 123, 138, 207, 246, 369, 414, 738, 943, 1886, 2829, 5658, 8487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16959 and 16974. The biggest common factor number is the GCF number.
So the greatest common factor 16959 and 16974 is 3.

Also check out the Least Common Multiple of 16959 and 16974