What is the Greatest Common Factor of 16536 and 16542?

Greatest common factor (GCF) of 16536 and 16542 is 6.

GCF(16536,16542) = 6

We will now calculate the prime factors of 16536 and 16542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16536 and 16542.

How to find the GCF of 16536 and 16542?

We will first find the prime factorization of 16536 and 16542. After we will calculate the factors of 16536 and 16542 and find the biggest common factor number .

Step-1: Prime Factorization of 16536

Prime factors of 16536 are 2, 3, 13, 53. Prime factorization of 16536 in exponential form is:

16536 = 2³ × 3¹ × 13¹ × 53¹

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 16536

List of positive integer factors of 16536 that divides 16536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 53, 78, 104, 106, 156, 159, 212, 312, 318, 424, 636, 689, 1272, 1378, 2067, 2756, 4134, 5512, 8268

Step-4: Factors of 16542

List of positive integer factors of 16542 that divides 16536 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 16536 and 16542. The biggest common factor number is the GCF number.
So the greatest common factor 16536 and 16542 is 6.

Also check out the Least Common Multiple of 16536 and 16542