What is the Greatest Common Factor of 33041 and 33049?

Greatest common factor (GCF) of 33041 and 33049 is 1.

GCF(33041,33049) = 1

We will now calculate the prime factors of 33041 and 33049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33041 and 33049.

How to find the GCF of 33041 and 33049?

We will first find the prime factorization of 33041 and 33049. After we will calculate the factors of 33041 and 33049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33049

Prime factors of 33049 are 33049. Prime factorization of 33049 in exponential form is:

33049 = 33049¹

Step-3: Factors of 33041

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

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

Step-4: Factors of 33049

List of positive integer factors of 33049 that divides 33041 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33041 and 33049. The biggest common factor number is the GCF number.
So the greatest common factor 33041 and 33049 is 1.

Also check out the Least Common Multiple of 33041 and 33049