What is the Greatest Common Factor of 32608 and 32614?

Greatest common factor (GCF) of 32608 and 32614 is 2.

GCF(32608,32614) = 2

We will now calculate the prime factors of 32608 and 32614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32608 and 32614.

How to find the GCF of 32608 and 32614?

We will first find the prime factorization of 32608 and 32614. After we will calculate the factors of 32608 and 32614 and find the biggest common factor number .

Step-1: Prime Factorization of 32608

Prime factors of 32608 are 2, 1019. Prime factorization of 32608 in exponential form is:

32608 = 2⁵ × 1019¹

Step-2: Prime Factorization of 32614

Prime factors of 32614 are 2, 23, 709. Prime factorization of 32614 in exponential form is:

32614 = 2¹ × 23¹ × 709¹

Step-3: Factors of 32608

List of positive integer factors of 32608 that divides 32608 without a remainder.

1, 2, 4, 8, 16, 32, 1019, 2038, 4076, 8152, 16304

Step-4: Factors of 32614

List of positive integer factors of 32614 that divides 32608 without a remainder.

1, 2, 23, 46, 709, 1418, 16307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32608 and 32614. The biggest common factor number is the GCF number.
So the greatest common factor 32608 and 32614 is 2.

Also check out the Least Common Multiple of 32608 and 32614