What is the Greatest Common Factor of 33286 and 33303?

Greatest common factor (GCF) of 33286 and 33303 is 17.

GCF(33286,33303) = 17

We will now calculate the prime factors of 33286 and 33303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33286 and 33303.

How to find the GCF of 33286 and 33303?

We will first find the prime factorization of 33286 and 33303. After we will calculate the factors of 33286 and 33303 and find the biggest common factor number .

Step-1: Prime Factorization of 33286

Prime factors of 33286 are 2, 11, 17, 89. Prime factorization of 33286 in exponential form is:

33286 = 2¹ × 11¹ × 17¹ × 89¹

Step-2: 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-3: Factors of 33286

List of positive integer factors of 33286 that divides 33286 without a remainder.

1, 2, 11, 17, 22, 34, 89, 178, 187, 374, 979, 1513, 1958, 3026, 16643

Step-4: Factors of 33303

List of positive integer factors of 33303 that divides 33286 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33286 and 33303. The biggest common factor number is the GCF number.
So the greatest common factor 33286 and 33303 is 17.

Also check out the Least Common Multiple of 33286 and 33303