What is the Greatest Common Factor of 16439 and 16456?

Greatest common factor (GCF) of 16439 and 16456 is 17.

GCF(16439,16456) = 17

We will now calculate the prime factors of 16439 and 16456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16439 and 16456.

How to find the GCF of 16439 and 16456?

We will first find the prime factorization of 16439 and 16456. After we will calculate the factors of 16439 and 16456 and find the biggest common factor number .

Step-1: Prime Factorization of 16439

Prime factors of 16439 are 17, 967. Prime factorization of 16439 in exponential form is:

16439 = 17¹ × 967¹

Step-2: Prime Factorization of 16456

Prime factors of 16456 are 2, 11, 17. Prime factorization of 16456 in exponential form is:

16456 = 2³ × 11² × 17¹

Step-3: Factors of 16439

List of positive integer factors of 16439 that divides 16439 without a remainder.

1, 17, 967

Step-4: Factors of 16456

List of positive integer factors of 16456 that divides 16439 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 121, 136, 187, 242, 374, 484, 748, 968, 1496, 2057, 4114, 8228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16439 and 16456. The biggest common factor number is the GCF number.
So the greatest common factor 16439 and 16456 is 17.

Also check out the Least Common Multiple of 16439 and 16456