What is the Greatest Common Factor of 41584 and 41602?

Greatest common factor (GCF) of 41584 and 41602 is 2.

GCF(41584,41602) = 2

We will now calculate the prime factors of 41584 and 41602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41584 and 41602.

How to find the GCF of 41584 and 41602?

We will first find the prime factorization of 41584 and 41602. After we will calculate the factors of 41584 and 41602 and find the biggest common factor number .

Step-1: Prime Factorization of 41584

Prime factors of 41584 are 2, 23, 113. Prime factorization of 41584 in exponential form is:

41584 = 2⁴ × 23¹ × 113¹

Step-2: Prime Factorization of 41602

Prime factors of 41602 are 2, 11, 31, 61. Prime factorization of 41602 in exponential form is:

41602 = 2¹ × 11¹ × 31¹ × 61¹

Step-3: Factors of 41584

List of positive integer factors of 41584 that divides 41584 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 113, 184, 226, 368, 452, 904, 1808, 2599, 5198, 10396, 20792

Step-4: Factors of 41602

List of positive integer factors of 41602 that divides 41584 without a remainder.

1, 2, 11, 22, 31, 61, 62, 122, 341, 671, 682, 1342, 1891, 3782, 20801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41584 and 41602. The biggest common factor number is the GCF number.
So the greatest common factor 41584 and 41602 is 2.

Also check out the Least Common Multiple of 41584 and 41602