What is the Greatest Common Factor of 33466 and 33484?

Greatest common factor (GCF) of 33466 and 33484 is 2.

GCF(33466,33484) = 2

We will now calculate the prime factors of 33466 and 33484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33466 and 33484.

How to find the GCF of 33466 and 33484?

We will first find the prime factorization of 33466 and 33484. After we will calculate the factors of 33466 and 33484 and find the biggest common factor number .

Step-1: Prime Factorization of 33466

Prime factors of 33466 are 2, 29, 577. Prime factorization of 33466 in exponential form is:

33466 = 2¹ × 29¹ × 577¹

Step-2: Prime Factorization of 33484

Prime factors of 33484 are 2, 11, 761. Prime factorization of 33484 in exponential form is:

33484 = 2² × 11¹ × 761¹

Step-3: Factors of 33466

List of positive integer factors of 33466 that divides 33466 without a remainder.

1, 2, 29, 58, 577, 1154, 16733

Step-4: Factors of 33484

List of positive integer factors of 33484 that divides 33466 without a remainder.

1, 2, 4, 11, 22, 44, 761, 1522, 3044, 8371, 16742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33466 and 33484. The biggest common factor number is the GCF number.
So the greatest common factor 33466 and 33484 is 2.

Also check out the Least Common Multiple of 33466 and 33484