What is the Greatest Common Factor of 41090 and 41105?

Greatest common factor (GCF) of 41090 and 41105 is 5.

GCF(41090,41105) = 5

We will now calculate the prime factors of 41090 and 41105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41090 and 41105.

How to find the GCF of 41090 and 41105?

We will first find the prime factorization of 41090 and 41105. After we will calculate the factors of 41090 and 41105 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41105

Prime factors of 41105 are 5, 8221. Prime factorization of 41105 in exponential form is:

41105 = 5¹ × 8221¹

Step-3: Factors of 41090

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

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

Step-4: Factors of 41105

List of positive integer factors of 41105 that divides 41090 without a remainder.

1, 5, 8221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41090 and 41105. The biggest common factor number is the GCF number.
So the greatest common factor 41090 and 41105 is 5.

Also check out the Least Common Multiple of 41090 and 41105