What is the Greatest Common Factor of 33566 and 33578?

Greatest common factor (GCF) of 33566 and 33578 is 2.

GCF(33566,33578) = 2

We will now calculate the prime factors of 33566 and 33578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33566 and 33578.

How to find the GCF of 33566 and 33578?

We will first find the prime factorization of 33566 and 33578. After we will calculate the factors of 33566 and 33578 and find the biggest common factor number .

Step-1: Prime Factorization of 33566

Prime factors of 33566 are 2, 13, 1291. Prime factorization of 33566 in exponential form is:

33566 = 2¹ × 13¹ × 1291¹

Step-2: Prime Factorization of 33578

Prime factors of 33578 are 2, 103, 163. Prime factorization of 33578 in exponential form is:

33578 = 2¹ × 103¹ × 163¹

Step-3: Factors of 33566

List of positive integer factors of 33566 that divides 33566 without a remainder.

1, 2, 13, 26, 1291, 2582, 16783

Step-4: Factors of 33578

List of positive integer factors of 33578 that divides 33566 without a remainder.

1, 2, 103, 163, 206, 326, 16789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33566 and 33578. The biggest common factor number is the GCF number.
So the greatest common factor 33566 and 33578 is 2.

Also check out the Least Common Multiple of 33566 and 33578