What is the Greatest Common Factor of 16526 and 16542?

Greatest common factor (GCF) of 16526 and 16542 is 2.

GCF(16526,16542) = 2

We will now calculate the prime factors of 16526 and 16542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16526 and 16542.

How to find the GCF of 16526 and 16542?

We will first find the prime factorization of 16526 and 16542. After we will calculate the factors of 16526 and 16542 and find the biggest common factor number .

Step-1: Prime Factorization of 16526

Prime factors of 16526 are 2, 8263. Prime factorization of 16526 in exponential form is:

16526 = 2¹ × 8263¹

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 16526

List of positive integer factors of 16526 that divides 16526 without a remainder.

1, 2, 8263

Step-4: Factors of 16542

List of positive integer factors of 16542 that divides 16526 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 16526 and 16542. The biggest common factor number is the GCF number.
So the greatest common factor 16526 and 16542 is 2.

Also check out the Least Common Multiple of 16526 and 16542