What is the Greatest Common Factor of 33270 and 33286?

Greatest common factor (GCF) of 33270 and 33286 is 2.

GCF(33270,33286) = 2

We will now calculate the prime factors of 33270 and 33286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33270 and 33286.

How to find the GCF of 33270 and 33286?

We will first find the prime factorization of 33270 and 33286. After we will calculate the factors of 33270 and 33286 and find the biggest common factor number .

Step-1: Prime Factorization of 33270

Prime factors of 33270 are 2, 3, 5, 1109. Prime factorization of 33270 in exponential form is:

33270 = 2¹ × 3¹ × 5¹ × 1109¹

Step-2: 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-3: Factors of 33270

List of positive integer factors of 33270 that divides 33270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1109, 2218, 3327, 5545, 6654, 11090, 16635

Step-4: Factors of 33286

List of positive integer factors of 33286 that divides 33270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33270 and 33286. The biggest common factor number is the GCF number.
So the greatest common factor 33270 and 33286 is 2.

Also check out the Least Common Multiple of 33270 and 33286