What is the Greatest Common Factor of 41548 and 41563?

Greatest common factor (GCF) of 41548 and 41563 is 1.

GCF(41548,41563) = 1

We will now calculate the prime factors of 41548 and 41563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41548 and 41563.

How to find the GCF of 41548 and 41563?

We will first find the prime factorization of 41548 and 41563. After we will calculate the factors of 41548 and 41563 and find the biggest common factor number .

Step-1: Prime Factorization of 41548

Prime factors of 41548 are 2, 13, 17, 47. Prime factorization of 41548 in exponential form is:

41548 = 2² × 13¹ × 17¹ × 47¹

Step-2: Prime Factorization of 41563

Prime factors of 41563 are 89, 467. Prime factorization of 41563 in exponential form is:

41563 = 89¹ × 467¹

Step-3: Factors of 41548

List of positive integer factors of 41548 that divides 41548 without a remainder.

1, 2, 4, 13, 17, 26, 34, 47, 52, 68, 94, 188, 221, 442, 611, 799, 884, 1222, 1598, 2444, 3196, 10387, 20774

Step-4: Factors of 41563

List of positive integer factors of 41563 that divides 41548 without a remainder.

1, 89, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41548 and 41563. The biggest common factor number is the GCF number.
So the greatest common factor 41548 and 41563 is 1.

Also check out the Least Common Multiple of 41548 and 41563