What is the Greatest Common Factor of 33270 and 33284?

Greatest common factor (GCF) of 33270 and 33284 is 2.

GCF(33270,33284) = 2

We will now calculate the prime factors of 33270 and 33284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33270 and 33284.

How to find the GCF of 33270 and 33284?

We will first find the prime factorization of 33270 and 33284. After we will calculate the factors of 33270 and 33284 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 33284

Prime factors of 33284 are 2, 53, 157. Prime factorization of 33284 in exponential form is:

33284 = 2² × 53¹ × 157¹

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 33284

List of positive integer factors of 33284 that divides 33270 without a remainder.

1, 2, 4, 53, 106, 157, 212, 314, 628, 8321, 16642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33270 and 33284. The biggest common factor number is the GCF number.
So the greatest common factor 33270 and 33284 is 2.

Also check out the Least Common Multiple of 33270 and 33284