What is the Greatest Common Factor of 16549 and 16561?

Greatest common factor (GCF) of 16549 and 16561 is 1.

GCF(16549,16561) = 1

We will now calculate the prime factors of 16549 and 16561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16549 and 16561.

How to find the GCF of 16549 and 16561?

We will first find the prime factorization of 16549 and 16561. After we will calculate the factors of 16549 and 16561 and find the biggest common factor number .

Step-1: Prime Factorization of 16549

Prime factors of 16549 are 13, 19, 67. Prime factorization of 16549 in exponential form is:

16549 = 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 16561

Prime factors of 16561 are 16561. Prime factorization of 16561 in exponential form is:

16561 = 16561¹

Step-3: Factors of 16549

List of positive integer factors of 16549 that divides 16549 without a remainder.

1, 13, 19, 67, 247, 871, 1273

Step-4: Factors of 16561

List of positive integer factors of 16561 that divides 16549 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16549 and 16561. The biggest common factor number is the GCF number.
So the greatest common factor 16549 and 16561 is 1.

Also check out the Least Common Multiple of 16549 and 16561