What is the Greatest Common Factor of 9597 and 9603?

Greatest common factor (GCF) of 9597 and 9603 is 3.

GCF(9597,9603) = 3

We will now calculate the prime factors of 9597 and 9603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9597 and 9603.

How to find the GCF of 9597 and 9603?

We will first find the prime factorization of 9597 and 9603. After we will calculate the factors of 9597 and 9603 and find the biggest common factor number .

Step-1: Prime Factorization of 9597

Prime factors of 9597 are 3, 7, 457. Prime factorization of 9597 in exponential form is:

9597 = 3¹ × 7¹ × 457¹

Step-2: Prime Factorization of 9603

Prime factors of 9603 are 3, 11, 97. Prime factorization of 9603 in exponential form is:

9603 = 3² × 11¹ × 97¹

Step-3: Factors of 9597

List of positive integer factors of 9597 that divides 9597 without a remainder.

1, 3, 7, 21, 457, 1371, 3199

Step-4: Factors of 9603

List of positive integer factors of 9603 that divides 9597 without a remainder.

1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9597 and 9603. The biggest common factor number is the GCF number.
So the greatest common factor 9597 and 9603 is 3.

Also check out the Least Common Multiple of 9597 and 9603