What is the Greatest Common Factor of 16739 and 16758?

Greatest common factor (GCF) of 16739 and 16758 is 19.

GCF(16739,16758) = 19

We will now calculate the prime factors of 16739 and 16758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16739 and 16758.

How to find the GCF of 16739 and 16758?

We will first find the prime factorization of 16739 and 16758. After we will calculate the factors of 16739 and 16758 and find the biggest common factor number .

Step-1: Prime Factorization of 16739

Prime factors of 16739 are 19, 881. Prime factorization of 16739 in exponential form is:

16739 = 19¹ × 881¹

Step-2: Prime Factorization of 16758

Prime factors of 16758 are 2, 3, 7, 19. Prime factorization of 16758 in exponential form is:

16758 = 2¹ × 3² × 7² × 19¹

Step-3: Factors of 16739

List of positive integer factors of 16739 that divides 16739 without a remainder.

1, 19, 881

Step-4: Factors of 16758

List of positive integer factors of 16758 that divides 16739 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 49, 57, 63, 98, 114, 126, 133, 147, 171, 266, 294, 342, 399, 441, 798, 882, 931, 1197, 1862, 2394, 2793, 5586, 8379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16739 and 16758. The biggest common factor number is the GCF number.
So the greatest common factor 16739 and 16758 is 19.

Also check out the Least Common Multiple of 16739 and 16758