What is the Greatest Common Factor of 30591 and 30597?

Greatest common factor (GCF) of 30591 and 30597 is 3.

GCF(30591,30597) = 3

We will now calculate the prime factors of 30591 and 30597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30591 and 30597.

How to find the GCF of 30591 and 30597?

We will first find the prime factorization of 30591 and 30597. After we will calculate the factors of 30591 and 30597 and find the biggest common factor number .

Step-1: Prime Factorization of 30591

Prime factors of 30591 are 3, 11, 103. Prime factorization of 30591 in exponential form is:

30591 = 3³ × 11¹ × 103¹

Step-2: 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-3: Factors of 30591

List of positive integer factors of 30591 that divides 30591 without a remainder.

1, 3, 9, 11, 27, 33, 99, 103, 297, 309, 927, 1133, 2781, 3399, 10197

Step-4: Factors of 30597

List of positive integer factors of 30597 that divides 30591 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30591 and 30597. The biggest common factor number is the GCF number.
So the greatest common factor 30591 and 30597 is 3.

Also check out the Least Common Multiple of 30591 and 30597