What is the Greatest Common Factor of 16523 and 16535?

Greatest common factor (GCF) of 16523 and 16535 is 1.

GCF(16523,16535) = 1

We will now calculate the prime factors of 16523 and 16535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16535.

How to find the GCF of 16523 and 16535?

We will first find the prime factorization of 16523 and 16535. After we will calculate the factors of 16523 and 16535 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 16535

Prime factors of 16535 are 5, 3307. Prime factorization of 16535 in exponential form is:

16535 = 5¹ × 3307¹

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 16535

List of positive integer factors of 16535 that divides 16523 without a remainder.

1, 5, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16523 and 16535. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16535 is 1.

Also check out the Least Common Multiple of 16523 and 16535