What is the Greatest Common Factor of 30566 and 30572?

Greatest common factor (GCF) of 30566 and 30572 is 2.

GCF(30566,30572) = 2

We will now calculate the prime factors of 30566 and 30572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30566 and 30572.

How to find the GCF of 30566 and 30572?

We will first find the prime factorization of 30566 and 30572. After we will calculate the factors of 30566 and 30572 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30572

Prime factors of 30572 are 2, 7643. Prime factorization of 30572 in exponential form is:

30572 = 2² × 7643¹

Step-3: Factors of 30566

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

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

Step-4: Factors of 30572

List of positive integer factors of 30572 that divides 30566 without a remainder.

1, 2, 4, 7643, 15286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30566 and 30572. The biggest common factor number is the GCF number.
So the greatest common factor 30566 and 30572 is 2.

Also check out the Least Common Multiple of 30566 and 30572