What is the Greatest Common Factor of 30597 and 30609?

Greatest common factor (GCF) of 30597 and 30609 is 3.

GCF(30597,30609) = 3

We will now calculate the prime factors of 30597 and 30609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30597 and 30609.

How to find the GCF of 30597 and 30609?

We will first find the prime factorization of 30597 and 30609. After we will calculate the factors of 30597 and 30609 and find the biggest common factor number .

Step-1: Prime Factorization of 30597

Prime factors of 30597 are 3, 7, 31, 47. Prime factorization of 30597 in exponential form is:

30597 = 3¹ × 7¹ × 31¹ × 47¹

Step-2: Prime Factorization of 30609

Prime factors of 30609 are 3, 19, 179. Prime factorization of 30609 in exponential form is:

30609 = 3² × 19¹ × 179¹

Step-3: Factors of 30597

List of positive integer factors of 30597 that divides 30597 without a remainder.

1, 3, 7, 21, 31, 47, 93, 141, 217, 329, 651, 987, 1457, 4371, 10199

Step-4: Factors of 30609

List of positive integer factors of 30609 that divides 30597 without a remainder.

1, 3, 9, 19, 57, 171, 179, 537, 1611, 3401, 10203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30597 and 30609. The biggest common factor number is the GCF number.
So the greatest common factor 30597 and 30609 is 3.

Also check out the Least Common Multiple of 30597 and 30609