What is the Greatest Common Factor of 41584 and 41588?

Greatest common factor (GCF) of 41584 and 41588 is 4.

GCF(41584,41588) = 4

We will now calculate the prime factors of 41584 and 41588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41584 and 41588.

How to find the GCF of 41584 and 41588?

We will first find the prime factorization of 41584 and 41588. After we will calculate the factors of 41584 and 41588 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 41588

Prime factors of 41588 are 2, 37, 281. Prime factorization of 41588 in exponential form is:

41588 = 2² × 37¹ × 281¹

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 41588

List of positive integer factors of 41588 that divides 41584 without a remainder.

1, 2, 4, 37, 74, 148, 281, 562, 1124, 10397, 20794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41584 and 41588. The biggest common factor number is the GCF number.
So the greatest common factor 41584 and 41588 is 4.

Also check out the Least Common Multiple of 41584 and 41588