What is the Greatest Common Factor of 16511 and 16523?

Greatest common factor (GCF) of 16511 and 16523 is 1.

GCF(16511,16523) = 1

We will now calculate the prime factors of 16511 and 16523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16511 and 16523.

How to find the GCF of 16511 and 16523?

We will first find the prime factorization of 16511 and 16523. After we will calculate the factors of 16511 and 16523 and find the biggest common factor number .

Step-1: Prime Factorization of 16511

Prime factors of 16511 are 11, 19, 79. Prime factorization of 16511 in exponential form is:

16511 = 11¹ × 19¹ × 79¹

Step-2: 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-3: Factors of 16511

List of positive integer factors of 16511 that divides 16511 without a remainder.

1, 11, 19, 79, 209, 869, 1501

Step-4: Factors of 16523

List of positive integer factors of 16523 that divides 16511 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16511 and 16523. The biggest common factor number is the GCF number.
So the greatest common factor 16511 and 16523 is 1.

Also check out the Least Common Multiple of 16511 and 16523