What is the Greatest Common Factor of 33029 and 33041?

Greatest common factor (GCF) of 33029 and 33041 is 1.

GCF(33029,33041) = 1

We will now calculate the prime factors of 33029 and 33041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33029 and 33041.

How to find the GCF of 33029 and 33041?

We will first find the prime factorization of 33029 and 33041. After we will calculate the factors of 33029 and 33041 and find the biggest common factor number .

Step-1: Prime Factorization of 33029

Prime factors of 33029 are 33029. Prime factorization of 33029 in exponential form is:

33029 = 33029¹

Step-2: Prime Factorization of 33041

Prime factors of 33041 are 19, 37, 47. Prime factorization of 33041 in exponential form is:

33041 = 19¹ × 37¹ × 47¹

Step-3: Factors of 33029

List of positive integer factors of 33029 that divides 33029 without a remainder.

Step-4: Factors of 33041

List of positive integer factors of 33041 that divides 33029 without a remainder.

1, 19, 37, 47, 703, 893, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33029 and 33041. The biggest common factor number is the GCF number.
So the greatest common factor 33029 and 33041 is 1.

Also check out the Least Common Multiple of 33029 and 33041