What is the Greatest Common Factor of 33777 and 33792?

Greatest common factor (GCF) of 33777 and 33792 is 3.

GCF(33777,33792) = 3

We will now calculate the prime factors of 33777 and 33792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33777 and 33792.

How to find the GCF of 33777 and 33792?

We will first find the prime factorization of 33777 and 33792. After we will calculate the factors of 33777 and 33792 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 33792

Prime factors of 33792 are 2, 3, 11. Prime factorization of 33792 in exponential form is:

33792 = 2¹⁰ × 3¹ × 11¹

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 33792

List of positive integer factors of 33792 that divides 33777 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1024, 1056, 1408, 1536, 2112, 2816, 3072, 4224, 5632, 8448, 11264, 16896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33777 and 33792. The biggest common factor number is the GCF number.
So the greatest common factor 33777 and 33792 is 3.

Also check out the Least Common Multiple of 33777 and 33792