What is the Greatest Common Factor of 33226 and 33232?

Greatest common factor (GCF) of 33226 and 33232 is 2.

GCF(33226,33232) = 2

We will now calculate the prime factors of 33226 and 33232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33226 and 33232.

How to find the GCF of 33226 and 33232?

We will first find the prime factorization of 33226 and 33232. After we will calculate the factors of 33226 and 33232 and find the biggest common factor number .

Step-1: Prime Factorization of 33226

Prime factors of 33226 are 2, 37, 449. Prime factorization of 33226 in exponential form is:

33226 = 2¹ × 37¹ × 449¹

Step-2: Prime Factorization of 33232

Prime factors of 33232 are 2, 31, 67. Prime factorization of 33232 in exponential form is:

33232 = 2⁴ × 31¹ × 67¹

Step-3: Factors of 33226

List of positive integer factors of 33226 that divides 33226 without a remainder.

1, 2, 37, 74, 449, 898, 16613

Step-4: Factors of 33232

List of positive integer factors of 33232 that divides 33226 without a remainder.

1, 2, 4, 8, 16, 31, 62, 67, 124, 134, 248, 268, 496, 536, 1072, 2077, 4154, 8308, 16616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33226 and 33232. The biggest common factor number is the GCF number.
So the greatest common factor 33226 and 33232 is 2.

Also check out the Least Common Multiple of 33226 and 33232