What is the Greatest Common Factor of 33277 and 33281?

Greatest common factor (GCF) of 33277 and 33281 is 1.

GCF(33277,33281) = 1

We will now calculate the prime factors of 33277 and 33281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33277 and 33281.

How to find the GCF of 33277 and 33281?

We will first find the prime factorization of 33277 and 33281. After we will calculate the factors of 33277 and 33281 and find the biggest common factor number .

Step-1: Prime Factorization of 33277

Prime factors of 33277 are 107, 311. Prime factorization of 33277 in exponential form is:

33277 = 107¹ × 311¹

Step-2: Prime Factorization of 33281

Prime factors of 33281 are 23, 1447. Prime factorization of 33281 in exponential form is:

33281 = 23¹ × 1447¹

Step-3: Factors of 33277

List of positive integer factors of 33277 that divides 33277 without a remainder.

1, 107, 311

Step-4: Factors of 33281

List of positive integer factors of 33281 that divides 33277 without a remainder.

1, 23, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33277 and 33281. The biggest common factor number is the GCF number.
So the greatest common factor 33277 and 33281 is 1.

Also check out the Least Common Multiple of 33277 and 33281