What is the Greatest Common Factor of 41090 and 41104?

Greatest common factor (GCF) of 41090 and 41104 is 14.

GCF(41090,41104) = 14

We will now calculate the prime factors of 41090 and 41104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41090 and 41104.

How to find the GCF of 41090 and 41104?

We will first find the prime factorization of 41090 and 41104. After we will calculate the factors of 41090 and 41104 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 41104

Prime factors of 41104 are 2, 7, 367. Prime factorization of 41104 in exponential form is:

41104 = 2⁴ × 7¹ × 367¹

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 41104

List of positive integer factors of 41104 that divides 41090 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 367, 734, 1468, 2569, 2936, 5138, 5872, 10276, 20552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41090 and 41104. The biggest common factor number is the GCF number.
So the greatest common factor 41090 and 41104 is 14.

Also check out the Least Common Multiple of 41090 and 41104