What is the Greatest Common Factor of 33776 and 33784?

Greatest common factor (GCF) of 33776 and 33784 is 8.

GCF(33776,33784) = 8

We will now calculate the prime factors of 33776 and 33784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33776 and 33784.

How to find the GCF of 33776 and 33784?

We will first find the prime factorization of 33776 and 33784. After we will calculate the factors of 33776 and 33784 and find the biggest common factor number .

Step-1: Prime Factorization of 33776

Prime factors of 33776 are 2, 2111. Prime factorization of 33776 in exponential form is:

33776 = 2⁴ × 2111¹

Step-2: Prime Factorization of 33784

Prime factors of 33784 are 2, 41, 103. Prime factorization of 33784 in exponential form is:

33784 = 2³ × 41¹ × 103¹

Step-3: Factors of 33776

List of positive integer factors of 33776 that divides 33776 without a remainder.

1, 2, 4, 8, 16, 2111, 4222, 8444, 16888

Step-4: Factors of 33784

List of positive integer factors of 33784 that divides 33776 without a remainder.

1, 2, 4, 8, 41, 82, 103, 164, 206, 328, 412, 824, 4223, 8446, 16892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33776 and 33784. The biggest common factor number is the GCF number.
So the greatest common factor 33776 and 33784 is 8.

Also check out the Least Common Multiple of 33776 and 33784