What is the Greatest Common Factor of 41075 and 41089?

Greatest common factor (GCF) of 41075 and 41089 is 1.

GCF(41075,41089) = 1

We will now calculate the prime factors of 41075 and 41089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41075 and 41089.

How to find the GCF of 41075 and 41089?

We will first find the prime factorization of 41075 and 41089. After we will calculate the factors of 41075 and 41089 and find the biggest common factor number .

Step-1: Prime Factorization of 41075

Prime factors of 41075 are 5, 31, 53. Prime factorization of 41075 in exponential form is:

41075 = 5² × 31¹ × 53¹

Step-2: Prime Factorization of 41089

Prime factors of 41089 are 17, 2417. Prime factorization of 41089 in exponential form is:

41089 = 17¹ × 2417¹

Step-3: Factors of 41075

List of positive integer factors of 41075 that divides 41075 without a remainder.

1, 5, 25, 31, 53, 155, 265, 775, 1325, 1643, 8215

Step-4: Factors of 41089

List of positive integer factors of 41089 that divides 41075 without a remainder.

1, 17, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41075 and 41089. The biggest common factor number is the GCF number.
So the greatest common factor 41075 and 41089 is 1.

Also check out the Least Common Multiple of 41075 and 41089