What is the Greatest Common Factor of 16538 and 16542?

Greatest common factor (GCF) of 16538 and 16542 is 2.

GCF(16538,16542) = 2

We will now calculate the prime factors of 16538 and 16542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16538 and 16542.

How to find the GCF of 16538 and 16542?

We will first find the prime factorization of 16538 and 16542. After we will calculate the factors of 16538 and 16542 and find the biggest common factor number .

Step-1: Prime Factorization of 16538

Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:

16538 = 2¹ × 8269¹

Step-2: Prime Factorization of 16542

Prime factors of 16542 are 2, 3, 919. Prime factorization of 16542 in exponential form is:

16542 = 2¹ × 3² × 919¹

Step-3: Factors of 16538

List of positive integer factors of 16538 that divides 16538 without a remainder.

1, 2, 8269

Step-4: Factors of 16542

List of positive integer factors of 16542 that divides 16538 without a remainder.

1, 2, 3, 6, 9, 18, 919, 1838, 2757, 5514, 8271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16538 and 16542. The biggest common factor number is the GCF number.
So the greatest common factor 16538 and 16542 is 2.

Also check out the Least Common Multiple of 16538 and 16542