What is the Greatest Common Factor of 16523 and 16528?

Greatest common factor (GCF) of 16523 and 16528 is 1.

GCF(16523,16528) = 1

We will now calculate the prime factors of 16523 and 16528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16528.

How to find the GCF of 16523 and 16528?

We will first find the prime factorization of 16523 and 16528. After we will calculate the factors of 16523 and 16528 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 16528

Prime factors of 16528 are 2, 1033. Prime factorization of 16528 in exponential form is:

16528 = 2⁴ × 1033¹

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 16528

List of positive integer factors of 16528 that divides 16523 without a remainder.

1, 2, 4, 8, 16, 1033, 2066, 4132, 8264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16523 and 16528. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16528 is 1.

Also check out the Least Common Multiple of 16523 and 16528