What is the Greatest Common Factor of 16523 and 16531?

Greatest common factor (GCF) of 16523 and 16531 is 1.

GCF(16523,16531) = 1

We will now calculate the prime factors of 16523 and 16531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16531.

How to find the GCF of 16523 and 16531?

We will first find the prime factorization of 16523 and 16531. After we will calculate the factors of 16523 and 16531 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 16531

Prime factors of 16531 are 61, 271. Prime factorization of 16531 in exponential form is:

16531 = 61¹ × 271¹

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 16531

List of positive integer factors of 16531 that divides 16523 without a remainder.

1, 61, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16523 and 16531. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16531 is 1.

Also check out the Least Common Multiple of 16523 and 16531