What is the Greatest Common Factor of 33777 and 33783?

Greatest common factor (GCF) of 33777 and 33783 is 3.

GCF(33777,33783) = 3

We will now calculate the prime factors of 33777 and 33783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33777 and 33783.

How to find the GCF of 33777 and 33783?

We will first find the prime factorization of 33777 and 33783. After we will calculate the factors of 33777 and 33783 and find the biggest common factor number .

Step-1: Prime Factorization of 33777

Prime factors of 33777 are 3, 139. Prime factorization of 33777 in exponential form is:

33777 = 3⁵ × 139¹

Step-2: Prime Factorization of 33783

Prime factors of 33783 are 3, 11261. Prime factorization of 33783 in exponential form is:

33783 = 3¹ × 11261¹

Step-3: Factors of 33777

List of positive integer factors of 33777 that divides 33777 without a remainder.

1, 3, 9, 27, 81, 139, 243, 417, 1251, 3753, 11259

Step-4: Factors of 33783

List of positive integer factors of 33783 that divides 33777 without a remainder.

1, 3, 11261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33777 and 33783. The biggest common factor number is the GCF number.
So the greatest common factor 33777 and 33783 is 3.

Also check out the Least Common Multiple of 33777 and 33783