What is the Greatest Common Factor of 33776 and 33788?

Greatest common factor (GCF) of 33776 and 33788 is 4.

GCF(33776,33788) = 4

We will now calculate the prime factors of 33776 and 33788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33776 and 33788.

How to find the GCF of 33776 and 33788?

We will first find the prime factorization of 33776 and 33788. After we will calculate the factors of 33776 and 33788 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 33788

Prime factors of 33788 are 2, 8447. Prime factorization of 33788 in exponential form is:

33788 = 2² × 8447¹

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 33788

List of positive integer factors of 33788 that divides 33776 without a remainder.

1, 2, 4, 8447, 16894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33776 and 33788. The biggest common factor number is the GCF number.
So the greatest common factor 33776 and 33788 is 4.

Also check out the Least Common Multiple of 33776 and 33788