What is the Greatest Common Factor of 16523 and 16542?

Greatest common factor (GCF) of 16523 and 16542 is 1.

GCF(16523,16542) = 1

We will now calculate the prime factors of 16523 and 16542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16542.

How to find the GCF of 16523 and 16542?

We will first find the prime factorization of 16523 and 16542. After we will calculate the factors of 16523 and 16542 and find the biggest common factor number .

Step-1: Prime Factorization of 16523

Prime factors of 16523 are 13, 31, 41. Prime factorization of 16523 in exponential form is:

16523 = 13¹ × 31¹ × 41¹

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 16523

List of positive integer factors of 16523 that divides 16523 without a remainder.

1, 13, 31, 41, 403, 533, 1271

Step-4: Factors of 16542

List of positive integer factors of 16542 that divides 16523 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 16523 and 16542. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16542 is 1.

Also check out the Least Common Multiple of 16523 and 16542