What is the Greatest Common Factor of 16422 and 16439?

Greatest common factor (GCF) of 16422 and 16439 is 17.

GCF(16422,16439) = 17

We will now calculate the prime factors of 16422 and 16439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16422 and 16439.

How to find the GCF of 16422 and 16439?

We will first find the prime factorization of 16422 and 16439. After we will calculate the factors of 16422 and 16439 and find the biggest common factor number .

Step-1: Prime Factorization of 16422

Prime factors of 16422 are 2, 3, 7, 17, 23. Prime factorization of 16422 in exponential form is:

16422 = 2¹ × 3¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 16439

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

16439 = 17¹ × 967¹

Step-3: Factors of 16422

List of positive integer factors of 16422 that divides 16422 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211

Step-4: Factors of 16439

List of positive integer factors of 16439 that divides 16422 without a remainder.

1, 17, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16422 and 16439. The biggest common factor number is the GCF number.
So the greatest common factor 16422 and 16439 is 17.

Also check out the Least Common Multiple of 16422 and 16439