What is the Greatest Common Factor of 16724 and 16739?

Greatest common factor (GCF) of 16724 and 16739 is 1.

GCF(16724,16739) = 1

We will now calculate the prime factors of 16724 and 16739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16724 and 16739.

How to find the GCF of 16724 and 16739?

We will first find the prime factorization of 16724 and 16739. After we will calculate the factors of 16724 and 16739 and find the biggest common factor number .

Step-1: Prime Factorization of 16724

Prime factors of 16724 are 2, 37, 113. Prime factorization of 16724 in exponential form is:

16724 = 2² × 37¹ × 113¹

Step-2: Prime Factorization of 16739

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

16739 = 19¹ × 881¹

Step-3: Factors of 16724

List of positive integer factors of 16724 that divides 16724 without a remainder.

1, 2, 4, 37, 74, 113, 148, 226, 452, 4181, 8362

Step-4: Factors of 16739

List of positive integer factors of 16739 that divides 16724 without a remainder.

1, 19, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16724 and 16739. The biggest common factor number is the GCF number.
So the greatest common factor 16724 and 16739 is 1.

Also check out the Least Common Multiple of 16724 and 16739