What is the Greatest Common Factor of 16511 and 16522?

Greatest common factor (GCF) of 16511 and 16522 is 11.

GCF(16511,16522) = 11

We will now calculate the prime factors of 16511 and 16522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16511 and 16522.

How to find the GCF of 16511 and 16522?

We will first find the prime factorization of 16511 and 16522. After we will calculate the factors of 16511 and 16522 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 16522

Prime factors of 16522 are 2, 11, 751. Prime factorization of 16522 in exponential form is:

16522 = 2¹ × 11¹ × 751¹

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 16522

List of positive integer factors of 16522 that divides 16511 without a remainder.

1, 2, 11, 22, 751, 1502, 8261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16511 and 16522. The biggest common factor number is the GCF number.
So the greatest common factor 16511 and 16522 is 11.

Also check out the Least Common Multiple of 16511 and 16522