What is the Greatest Common Factor of 33274 and 33288?

Greatest common factor (GCF) of 33274 and 33288 is 2.

GCF(33274,33288) = 2

We will now calculate the prime factors of 33274 and 33288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33274 and 33288.

How to find the GCF of 33274 and 33288?

We will first find the prime factorization of 33274 and 33288. After we will calculate the factors of 33274 and 33288 and find the biggest common factor number .

Step-1: Prime Factorization of 33274

Prime factors of 33274 are 2, 127, 131. Prime factorization of 33274 in exponential form is:

33274 = 2¹ × 127¹ × 131¹

Step-2: Prime Factorization of 33288

Prime factors of 33288 are 2, 3, 19, 73. Prime factorization of 33288 in exponential form is:

33288 = 2³ × 3¹ × 19¹ × 73¹

Step-3: Factors of 33274

List of positive integer factors of 33274 that divides 33274 without a remainder.

1, 2, 127, 131, 254, 262, 16637

Step-4: Factors of 33288

List of positive integer factors of 33288 that divides 33274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 73, 76, 114, 146, 152, 219, 228, 292, 438, 456, 584, 876, 1387, 1752, 2774, 4161, 5548, 8322, 11096, 16644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33274 and 33288. The biggest common factor number is the GCF number.
So the greatest common factor 33274 and 33288 is 2.

Also check out the Least Common Multiple of 33274 and 33288