What is the Greatest Common Factor of 33464 and 33482?

Greatest common factor (GCF) of 33464 and 33482 is 2.

GCF(33464,33482) = 2

We will now calculate the prime factors of 33464 and 33482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33464 and 33482.

How to find the GCF of 33464 and 33482?

We will first find the prime factorization of 33464 and 33482. After we will calculate the factors of 33464 and 33482 and find the biggest common factor number .

Step-1: Prime Factorization of 33464

Prime factors of 33464 are 2, 47, 89. Prime factorization of 33464 in exponential form is:

33464 = 2³ × 47¹ × 89¹

Step-2: Prime Factorization of 33482

Prime factors of 33482 are 2, 16741. Prime factorization of 33482 in exponential form is:

33482 = 2¹ × 16741¹

Step-3: Factors of 33464

List of positive integer factors of 33464 that divides 33464 without a remainder.

1, 2, 4, 8, 47, 89, 94, 178, 188, 356, 376, 712, 4183, 8366, 16732

Step-4: Factors of 33482

List of positive integer factors of 33482 that divides 33464 without a remainder.

1, 2, 16741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33464 and 33482. The biggest common factor number is the GCF number.
So the greatest common factor 33464 and 33482 is 2.

Also check out the Least Common Multiple of 33464 and 33482