What is the Greatest Common Factor of 41582 and 41599?

Greatest common factor (GCF) of 41582 and 41599 is 17.

GCF(41582,41599) = 17

We will now calculate the prime factors of 41582 and 41599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41582 and 41599.

How to find the GCF of 41582 and 41599?

We will first find the prime factorization of 41582 and 41599. After we will calculate the factors of 41582 and 41599 and find the biggest common factor number .

Step-1: Prime Factorization of 41582

Prime factors of 41582 are 2, 17, 1223. Prime factorization of 41582 in exponential form is:

41582 = 2¹ × 17¹ × 1223¹

Step-2: Prime Factorization of 41599

Prime factors of 41599 are 17, 2447. Prime factorization of 41599 in exponential form is:

41599 = 17¹ × 2447¹

Step-3: Factors of 41582

List of positive integer factors of 41582 that divides 41582 without a remainder.

1, 2, 17, 34, 1223, 2446, 20791

Step-4: Factors of 41599

List of positive integer factors of 41599 that divides 41582 without a remainder.

1, 17, 2447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41582 and 41599. The biggest common factor number is the GCF number.
So the greatest common factor 41582 and 41599 is 17.

Also check out the Least Common Multiple of 41582 and 41599