What is the Greatest Common Factor of 33278 and 33291?

Greatest common factor (GCF) of 33278 and 33291 is 1.

GCF(33278,33291) = 1

We will now calculate the prime factors of 33278 and 33291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33278 and 33291.

How to find the GCF of 33278 and 33291?

We will first find the prime factorization of 33278 and 33291. After we will calculate the factors of 33278 and 33291 and find the biggest common factor number .

Step-1: Prime Factorization of 33278

Prime factors of 33278 are 2, 7, 2377. Prime factorization of 33278 in exponential form is:

33278 = 2¹ × 7¹ × 2377¹

Step-2: Prime Factorization of 33291

Prime factors of 33291 are 3, 137. Prime factorization of 33291 in exponential form is:

33291 = 3⁵ × 137¹

Step-3: Factors of 33278

List of positive integer factors of 33278 that divides 33278 without a remainder.

1, 2, 7, 14, 2377, 4754, 16639

Step-4: Factors of 33291

List of positive integer factors of 33291 that divides 33278 without a remainder.

1, 3, 9, 27, 81, 137, 243, 411, 1233, 3699, 11097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33278 and 33291. The biggest common factor number is the GCF number.
So the greatest common factor 33278 and 33291 is 1.

Also check out the Least Common Multiple of 33278 and 33291