What is the Greatest Common Factor of 16420 and 16438?

Greatest common factor (GCF) of 16420 and 16438 is 2.

GCF(16420,16438) = 2

We will now calculate the prime factors of 16420 and 16438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16420 and 16438.

How to find the GCF of 16420 and 16438?

We will first find the prime factorization of 16420 and 16438. After we will calculate the factors of 16420 and 16438 and find the biggest common factor number .

Step-1: Prime Factorization of 16420

Prime factors of 16420 are 2, 5, 821. Prime factorization of 16420 in exponential form is:

16420 = 2² × 5¹ × 821¹

Step-2: Prime Factorization of 16438

Prime factors of 16438 are 2, 8219. Prime factorization of 16438 in exponential form is:

16438 = 2¹ × 8219¹

Step-3: Factors of 16420

List of positive integer factors of 16420 that divides 16420 without a remainder.

1, 2, 4, 5, 10, 20, 821, 1642, 3284, 4105, 8210

Step-4: Factors of 16438

List of positive integer factors of 16438 that divides 16420 without a remainder.

1, 2, 8219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16420 and 16438. The biggest common factor number is the GCF number.
So the greatest common factor 16420 and 16438 is 2.

Also check out the Least Common Multiple of 16420 and 16438