What is the Greatest Common Factor of 30558 and 30567?

Greatest common factor (GCF) of 30558 and 30567 is 3.

GCF(30558,30567) = 3

We will now calculate the prime factors of 30558 and 30567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30558 and 30567.

How to find the GCF of 30558 and 30567?

We will first find the prime factorization of 30558 and 30567. After we will calculate the factors of 30558 and 30567 and find the biggest common factor number .

Step-1: Prime Factorization of 30558

Prime factors of 30558 are 2, 3, 11, 463. Prime factorization of 30558 in exponential form is:

30558 = 2¹ × 3¹ × 11¹ × 463¹

Step-2: Prime Factorization of 30567

Prime factors of 30567 are 3, 23, 443. Prime factorization of 30567 in exponential form is:

30567 = 3¹ × 23¹ × 443¹

Step-3: Factors of 30558

List of positive integer factors of 30558 that divides 30558 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 463, 926, 1389, 2778, 5093, 10186, 15279

Step-4: Factors of 30567

List of positive integer factors of 30567 that divides 30558 without a remainder.

1, 3, 23, 69, 443, 1329, 10189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30558 and 30567. The biggest common factor number is the GCF number.
So the greatest common factor 30558 and 30567 is 3.

Also check out the Least Common Multiple of 30558 and 30567