What is the Greatest Common Factor of 30627 and 30645?

Greatest common factor (GCF) of 30627 and 30645 is 9.

GCF(30627,30645) = 9

We will now calculate the prime factors of 30627 and 30645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30627 and 30645.

How to find the GCF of 30627 and 30645?

We will first find the prime factorization of 30627 and 30645. After we will calculate the factors of 30627 and 30645 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 30645

Prime factors of 30645 are 3, 5, 227. Prime factorization of 30645 in exponential form is:

30645 = 3³ × 5¹ × 227¹

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 30645

List of positive integer factors of 30645 that divides 30627 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 227, 681, 1135, 2043, 3405, 6129, 10215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30627 and 30645. The biggest common factor number is the GCF number.
So the greatest common factor 30627 and 30645 is 9.

Also check out the Least Common Multiple of 30627 and 30645