What is the Greatest Common Factor of 32998 and 33016?

Greatest common factor (GCF) of 32998 and 33016 is 2.

GCF(32998,33016) = 2

We will now calculate the prime factors of 32998 and 33016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32998 and 33016.

How to find the GCF of 32998 and 33016?

We will first find the prime factorization of 32998 and 33016. After we will calculate the factors of 32998 and 33016 and find the biggest common factor number .

Step-1: Prime Factorization of 32998

Prime factors of 32998 are 2, 7, 2357. Prime factorization of 32998 in exponential form is:

32998 = 2¹ × 7¹ × 2357¹

Step-2: Prime Factorization of 33016

Prime factors of 33016 are 2, 4127. Prime factorization of 33016 in exponential form is:

33016 = 2³ × 4127¹

Step-3: Factors of 32998

List of positive integer factors of 32998 that divides 32998 without a remainder.

1, 2, 7, 14, 2357, 4714, 16499

Step-4: Factors of 33016

List of positive integer factors of 33016 that divides 32998 without a remainder.

1, 2, 4, 8, 4127, 8254, 16508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32998 and 33016. The biggest common factor number is the GCF number.
So the greatest common factor 32998 and 33016 is 2.

Also check out the Least Common Multiple of 32998 and 33016