What is the Greatest Common Factor of 41075 and 41090?

Greatest common factor (GCF) of 41075 and 41090 is 5.

GCF(41075,41090) = 5

We will now calculate the prime factors of 41075 and 41090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41075 and 41090.

How to find the GCF of 41075 and 41090?

We will first find the prime factorization of 41075 and 41090. After we will calculate the factors of 41075 and 41090 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 41090

Prime factors of 41090 are 2, 5, 7, 587. Prime factorization of 41090 in exponential form is:

41090 = 2¹ × 5¹ × 7¹ × 587¹

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 41090

List of positive integer factors of 41090 that divides 41075 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 587, 1174, 2935, 4109, 5870, 8218, 20545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41075 and 41090. The biggest common factor number is the GCF number.
So the greatest common factor 41075 and 41090 is 5.

Also check out the Least Common Multiple of 41075 and 41090