What is the Greatest Common Factor of 33608 and 33614?

Greatest common factor (GCF) of 33608 and 33614 is 2.

GCF(33608,33614) = 2

We will now calculate the prime factors of 33608 and 33614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33608 and 33614.

How to find the GCF of 33608 and 33614?

We will first find the prime factorization of 33608 and 33614. After we will calculate the factors of 33608 and 33614 and find the biggest common factor number .

Step-1: Prime Factorization of 33608

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

33608 = 2³ × 4201¹

Step-2: Prime Factorization of 33614

Prime factors of 33614 are 2, 7. Prime factorization of 33614 in exponential form is:

33614 = 2¹ × 7⁵

Step-3: Factors of 33608

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

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

Step-4: Factors of 33614

List of positive integer factors of 33614 that divides 33608 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802, 16807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33608 and 33614. The biggest common factor number is the GCF number.
So the greatest common factor 33608 and 33614 is 2.

Also check out the Least Common Multiple of 33608 and 33614