What is the Greatest Common Factor of 33002 and 33013?

Greatest common factor (GCF) of 33002 and 33013 is 1.

GCF(33002,33013) = 1

We will now calculate the prime factors of 33002 and 33013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33002 and 33013.

How to find the GCF of 33002 and 33013?

We will first find the prime factorization of 33002 and 33013. After we will calculate the factors of 33002 and 33013 and find the biggest common factor number .

Step-1: Prime Factorization of 33002

Prime factors of 33002 are 2, 29, 569. Prime factorization of 33002 in exponential form is:

33002 = 2¹ × 29¹ × 569¹

Step-2: Prime Factorization of 33013

Prime factors of 33013 are 33013. Prime factorization of 33013 in exponential form is:

33013 = 33013¹

Step-3: Factors of 33002

List of positive integer factors of 33002 that divides 33002 without a remainder.

1, 2, 29, 58, 569, 1138, 16501

Step-4: Factors of 33013

List of positive integer factors of 33013 that divides 33002 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33002 and 33013. The biggest common factor number is the GCF number.
So the greatest common factor 33002 and 33013 is 1.

Also check out the Least Common Multiple of 33002 and 33013