What is the Greatest Common Factor of 33598 and 33608?

Greatest common factor (GCF) of 33598 and 33608 is 2.

GCF(33598,33608) = 2

We will now calculate the prime factors of 33598 and 33608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33598 and 33608.

How to find the GCF of 33598 and 33608?

We will first find the prime factorization of 33598 and 33608. After we will calculate the factors of 33598 and 33608 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 33608

Prime factors of 33608 are 2, 4201. Prime factorization of 33608 in exponential form is:

33608 = 2³ × 4201¹

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 33608

List of positive integer factors of 33608 that divides 33598 without a remainder.

1, 2, 4, 8, 4201, 8402, 16804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33598 and 33608. The biggest common factor number is the GCF number.
So the greatest common factor 33598 and 33608 is 2.

Also check out the Least Common Multiple of 33598 and 33608