What is the Greatest Common Factor of 30597 and 30603?

Greatest common factor (GCF) of 30597 and 30603 is 3.

GCF(30597,30603) = 3

We will now calculate the prime factors of 30597 and 30603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30597 and 30603.

How to find the GCF of 30597 and 30603?

We will first find the prime factorization of 30597 and 30603. After we will calculate the factors of 30597 and 30603 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 30603

Prime factors of 30603 are 3, 101. Prime factorization of 30603 in exponential form is:

30603 = 3¹ × 101²

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 30603

List of positive integer factors of 30603 that divides 30597 without a remainder.

1, 3, 101, 303, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30597 and 30603. The biggest common factor number is the GCF number.
So the greatest common factor 30597 and 30603 is 3.

Also check out the Least Common Multiple of 30597 and 30603