What is the Greatest Common Factor of 33603 and 33612?

Greatest common factor (GCF) of 33603 and 33612 is 3.

GCF(33603,33612) = 3

We will now calculate the prime factors of 33603 and 33612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33603 and 33612.

How to find the GCF of 33603 and 33612?

We will first find the prime factorization of 33603 and 33612. After we will calculate the factors of 33603 and 33612 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33612

Prime factors of 33612 are 2, 3, 2801. Prime factorization of 33612 in exponential form is:

33612 = 2² × 3¹ × 2801¹

Step-3: Factors of 33603

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

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

Step-4: Factors of 33612

List of positive integer factors of 33612 that divides 33603 without a remainder.

1, 2, 3, 4, 6, 12, 2801, 5602, 8403, 11204, 16806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33603 and 33612. The biggest common factor number is the GCF number.
So the greatest common factor 33603 and 33612 is 3.

Also check out the Least Common Multiple of 33603 and 33612