What is the Greatest Common Factor of 33597 and 33603?

Greatest common factor (GCF) of 33597 and 33603 is 3.

GCF(33597,33603) = 3

We will now calculate the prime factors of 33597 and 33603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33597 and 33603.

How to find the GCF of 33597 and 33603?

We will first find the prime factorization of 33597 and 33603. After we will calculate the factors of 33597 and 33603 and find the biggest common factor number .

Step-1: Prime Factorization of 33597

Prime factors of 33597 are 3, 3733. Prime factorization of 33597 in exponential form is:

33597 = 3² × 3733¹

Step-2: Prime Factorization of 33603

Prime factors of 33603 are 3, 23, 487. Prime factorization of 33603 in exponential form is:

33603 = 3¹ × 23¹ × 487¹

Step-3: Factors of 33597

List of positive integer factors of 33597 that divides 33597 without a remainder.

1, 3, 9, 3733, 11199

Step-4: Factors of 33603

List of positive integer factors of 33603 that divides 33597 without a remainder.

1, 3, 23, 69, 487, 1461, 11201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33597 and 33603. The biggest common factor number is the GCF number.
So the greatest common factor 33597 and 33603 is 3.

Also check out the Least Common Multiple of 33597 and 33603