What is the Greatest Common Factor of 33005 and 33014?

Greatest common factor (GCF) of 33005 and 33014 is 1.

GCF(33005,33014) = 1

We will now calculate the prime factors of 33005 and 33014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33005 and 33014.

How to find the GCF of 33005 and 33014?

We will first find the prime factorization of 33005 and 33014. After we will calculate the factors of 33005 and 33014 and find the biggest common factor number .

Step-1: Prime Factorization of 33005

Prime factors of 33005 are 5, 7, 23, 41. Prime factorization of 33005 in exponential form is:

33005 = 5¹ × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 33014

Prime factors of 33014 are 2, 17, 971. Prime factorization of 33014 in exponential form is:

33014 = 2¹ × 17¹ × 971¹

Step-3: Factors of 33005

List of positive integer factors of 33005 that divides 33005 without a remainder.

1, 5, 7, 23, 35, 41, 115, 161, 205, 287, 805, 943, 1435, 4715, 6601

Step-4: Factors of 33014

List of positive integer factors of 33014 that divides 33005 without a remainder.

1, 2, 17, 34, 971, 1942, 16507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33005 and 33014. The biggest common factor number is the GCF number.
So the greatest common factor 33005 and 33014 is 1.

Also check out the Least Common Multiple of 33005 and 33014