What is the Greatest Common Factor of 16945 and 16959?

Greatest common factor (GCF) of 16945 and 16959 is 1.

GCF(16945,16959) = 1

We will now calculate the prime factors of 16945 and 16959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16945 and 16959.

How to find the GCF of 16945 and 16959?

We will first find the prime factorization of 16945 and 16959. After we will calculate the factors of 16945 and 16959 and find the biggest common factor number .

Step-1: Prime Factorization of 16945

Prime factors of 16945 are 5, 3389. Prime factorization of 16945 in exponential form is:

16945 = 5¹ × 3389¹

Step-2: Prime Factorization of 16959

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

16959 = 3¹ × 5653¹

Step-3: Factors of 16945

List of positive integer factors of 16945 that divides 16945 without a remainder.

1, 5, 3389

Step-4: Factors of 16959

List of positive integer factors of 16959 that divides 16945 without a remainder.

1, 3, 5653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16945 and 16959. The biggest common factor number is the GCF number.
So the greatest common factor 16945 and 16959 is 1.

Also check out the Least Common Multiple of 16945 and 16959