What is the Greatest Common Factor of 30627 and 30633?

Greatest common factor (GCF) of 30627 and 30633 is 3.

GCF(30627,30633) = 3

We will now calculate the prime factors of 30627 and 30633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30627 and 30633.

How to find the GCF of 30627 and 30633?

We will first find the prime factorization of 30627 and 30633. After we will calculate the factors of 30627 and 30633 and find the biggest common factor number .

Step-1: Prime Factorization of 30627

Prime factors of 30627 are 3, 41, 83. Prime factorization of 30627 in exponential form is:

30627 = 3² × 41¹ × 83¹

Step-2: Prime Factorization of 30633

Prime factors of 30633 are 3, 10211. Prime factorization of 30633 in exponential form is:

30633 = 3¹ × 10211¹

Step-3: Factors of 30627

List of positive integer factors of 30627 that divides 30627 without a remainder.

1, 3, 9, 41, 83, 123, 249, 369, 747, 3403, 10209

Step-4: Factors of 30633

List of positive integer factors of 30633 that divides 30627 without a remainder.

1, 3, 10211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30627 and 30633. The biggest common factor number is the GCF number.
So the greatest common factor 30627 and 30633 is 3.

Also check out the Least Common Multiple of 30627 and 30633