What is the Greatest Common Factor of 33766 and 33777?

Greatest common factor (GCF) of 33766 and 33777 is 1.

GCF(33766,33777) = 1

We will now calculate the prime factors of 33766 and 33777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33766 and 33777.

How to find the GCF of 33766 and 33777?

We will first find the prime factorization of 33766 and 33777. After we will calculate the factors of 33766 and 33777 and find the biggest common factor number .

Step-1: Prime Factorization of 33766

Prime factors of 33766 are 2, 16883. Prime factorization of 33766 in exponential form is:

33766 = 2¹ × 16883¹

Step-2: Prime Factorization of 33777

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

33777 = 3⁵ × 139¹

Step-3: Factors of 33766

List of positive integer factors of 33766 that divides 33766 without a remainder.

1, 2, 16883

Step-4: Factors of 33777

List of positive integer factors of 33777 that divides 33766 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33766 and 33777. The biggest common factor number is the GCF number.
So the greatest common factor 33766 and 33777 is 1.

Also check out the Least Common Multiple of 33766 and 33777