What is the Greatest Common Factor of 33303 and 33318?

Greatest common factor (GCF) of 33303 and 33318 is 3.

GCF(33303,33318) = 3

We will now calculate the prime factors of 33303 and 33318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33303 and 33318.

How to find the GCF of 33303 and 33318?

We will first find the prime factorization of 33303 and 33318. After we will calculate the factors of 33303 and 33318 and find the biggest common factor number .

Step-1: Prime Factorization of 33303

Prime factors of 33303 are 3, 17, 653. Prime factorization of 33303 in exponential form is:

33303 = 3¹ × 17¹ × 653¹

Step-2: Prime Factorization of 33318

Prime factors of 33318 are 2, 3, 617. Prime factorization of 33318 in exponential form is:

33318 = 2¹ × 3³ × 617¹

Step-3: Factors of 33303

List of positive integer factors of 33303 that divides 33303 without a remainder.

1, 3, 17, 51, 653, 1959, 11101

Step-4: Factors of 33318

List of positive integer factors of 33318 that divides 33303 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 617, 1234, 1851, 3702, 5553, 11106, 16659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33303 and 33318. The biggest common factor number is the GCF number.
So the greatest common factor 33303 and 33318 is 3.

Also check out the Least Common Multiple of 33303 and 33318