What is the Greatest Common Factor of 30549 and 30566?

Greatest common factor (GCF) of 30549 and 30566 is 17.

GCF(30549,30566) = 17

We will now calculate the prime factors of 30549 and 30566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30549 and 30566.

How to find the GCF of 30549 and 30566?

We will first find the prime factorization of 30549 and 30566. After we will calculate the factors of 30549 and 30566 and find the biggest common factor number .

Step-1: Prime Factorization of 30549

Prime factors of 30549 are 3, 17, 599. Prime factorization of 30549 in exponential form is:

30549 = 3¹ × 17¹ × 599¹

Step-2: Prime Factorization of 30566

Prime factors of 30566 are 2, 17, 29, 31. Prime factorization of 30566 in exponential form is:

30566 = 2¹ × 17¹ × 29¹ × 31¹

Step-3: Factors of 30549

List of positive integer factors of 30549 that divides 30549 without a remainder.

1, 3, 17, 51, 599, 1797, 10183

Step-4: Factors of 30566

List of positive integer factors of 30566 that divides 30549 without a remainder.

1, 2, 17, 29, 31, 34, 58, 62, 493, 527, 899, 986, 1054, 1798, 15283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30549 and 30566. The biggest common factor number is the GCF number.
So the greatest common factor 30549 and 30566 is 17.

Also check out the Least Common Multiple of 30549 and 30566