What is the Greatest Common Factor of 30623 and 30627?

Greatest common factor (GCF) of 30623 and 30627 is 1.

GCF(30623,30627) = 1

We will now calculate the prime factors of 30623 and 30627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30623 and 30627.

How to find the GCF of 30623 and 30627?

We will first find the prime factorization of 30623 and 30627. After we will calculate the factors of 30623 and 30627 and find the biggest common factor number .

Step-1: Prime Factorization of 30623

Prime factors of 30623 are 113, 271. Prime factorization of 30623 in exponential form is:

30623 = 113¹ × 271¹

Step-2: 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-3: Factors of 30623

List of positive integer factors of 30623 that divides 30623 without a remainder.

1, 113, 271

Step-4: Factors of 30627

List of positive integer factors of 30627 that divides 30623 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30623 and 30627. The biggest common factor number is the GCF number.
So the greatest common factor 30623 and 30627 is 1.

Also check out the Least Common Multiple of 30623 and 30627