What is the Greatest Common Factor of 33760 and 33764?

Greatest common factor (GCF) of 33760 and 33764 is 4.

GCF(33760,33764) = 4

We will now calculate the prime factors of 33760 and 33764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33760 and 33764.

How to find the GCF of 33760 and 33764?

We will first find the prime factorization of 33760 and 33764. After we will calculate the factors of 33760 and 33764 and find the biggest common factor number .

Step-1: Prime Factorization of 33760

Prime factors of 33760 are 2, 5, 211. Prime factorization of 33760 in exponential form is:

33760 = 2⁵ × 5¹ × 211¹

Step-2: Prime Factorization of 33764

Prime factors of 33764 are 2, 23, 367. Prime factorization of 33764 in exponential form is:

33764 = 2² × 23¹ × 367¹

Step-3: Factors of 33760

List of positive integer factors of 33760 that divides 33760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 6752, 8440, 16880

Step-4: Factors of 33764

List of positive integer factors of 33764 that divides 33760 without a remainder.

1, 2, 4, 23, 46, 92, 367, 734, 1468, 8441, 16882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33760 and 33764. The biggest common factor number is the GCF number.
So the greatest common factor 33760 and 33764 is 4.

Also check out the Least Common Multiple of 33760 and 33764