What is the Greatest Common Factor of 16549 and 16568?

Greatest common factor (GCF) of 16549 and 16568 is 19.

GCF(16549,16568) = 19

We will now calculate the prime factors of 16549 and 16568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16549 and 16568.

How to find the GCF of 16549 and 16568?

We will first find the prime factorization of 16549 and 16568. After we will calculate the factors of 16549 and 16568 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 16568

Prime factors of 16568 are 2, 19, 109. Prime factorization of 16568 in exponential form is:

16568 = 2³ × 19¹ × 109¹

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 16568

List of positive integer factors of 16568 that divides 16549 without a remainder.

1, 2, 4, 8, 19, 38, 76, 109, 152, 218, 436, 872, 2071, 4142, 8284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16549 and 16568. The biggest common factor number is the GCF number.
So the greatest common factor 16549 and 16568 is 19.

Also check out the Least Common Multiple of 16549 and 16568