What is the Greatest Common Factor of 33598 and 33606?

Greatest common factor (GCF) of 33598 and 33606 is 2.

GCF(33598,33606) = 2

We will now calculate the prime factors of 33598 and 33606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33598 and 33606.

How to find the GCF of 33598 and 33606?

We will first find the prime factorization of 33598 and 33606. After we will calculate the factors of 33598 and 33606 and find the biggest common factor number .

Step-1: Prime Factorization of 33598

Prime factors of 33598 are 2, 107, 157. Prime factorization of 33598 in exponential form is:

33598 = 2¹ × 107¹ × 157¹

Step-2: Prime Factorization of 33606

Prime factors of 33606 are 2, 3, 1867. Prime factorization of 33606 in exponential form is:

33606 = 2¹ × 3² × 1867¹

Step-3: Factors of 33598

List of positive integer factors of 33598 that divides 33598 without a remainder.

1, 2, 107, 157, 214, 314, 16799

Step-4: Factors of 33606

List of positive integer factors of 33606 that divides 33598 without a remainder.

1, 2, 3, 6, 9, 18, 1867, 3734, 5601, 11202, 16803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33598 and 33606. The biggest common factor number is the GCF number.
So the greatest common factor 33598 and 33606 is 2.

Also check out the Least Common Multiple of 33598 and 33606