What is the Greatest Common Factor of 16549 and 16567?

Greatest common factor (GCF) of 16549 and 16567 is 1.

GCF(16549,16567) = 1

We will now calculate the prime factors of 16549 and 16567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16549 and 16567.

How to find the GCF of 16549 and 16567?

We will first find the prime factorization of 16549 and 16567. After we will calculate the factors of 16549 and 16567 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 16567

Prime factors of 16567 are 16567. Prime factorization of 16567 in exponential form is:

16567 = 16567¹

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 16567

List of positive integer factors of 16567 that divides 16549 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16549 and 16567. The biggest common factor number is the GCF number.
So the greatest common factor 16549 and 16567 is 1.

Also check out the Least Common Multiple of 16549 and 16567