What is the Greatest Common Factor of 33562 and 33568?

Greatest common factor (GCF) of 33562 and 33568 is 2.

GCF(33562,33568) = 2

We will now calculate the prime factors of 33562 and 33568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33562 and 33568.

How to find the GCF of 33562 and 33568?

We will first find the prime factorization of 33562 and 33568. After we will calculate the factors of 33562 and 33568 and find the biggest common factor number .

Step-1: Prime Factorization of 33562

Prime factors of 33562 are 2, 97, 173. Prime factorization of 33562 in exponential form is:

33562 = 2¹ × 97¹ × 173¹

Step-2: Prime Factorization of 33568

Prime factors of 33568 are 2, 1049. Prime factorization of 33568 in exponential form is:

33568 = 2⁵ × 1049¹

Step-3: Factors of 33562

List of positive integer factors of 33562 that divides 33562 without a remainder.

1, 2, 97, 173, 194, 346, 16781

Step-4: Factors of 33568

List of positive integer factors of 33568 that divides 33562 without a remainder.

1, 2, 4, 8, 16, 32, 1049, 2098, 4196, 8392, 16784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33562 and 33568. The biggest common factor number is the GCF number.
So the greatest common factor 33562 and 33568 is 2.

Also check out the Least Common Multiple of 33562 and 33568