What is the Greatest Common Factor of 41531 and 41548?

Greatest common factor (GCF) of 41531 and 41548 is 17.

GCF(41531,41548) = 17

We will now calculate the prime factors of 41531 and 41548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41531 and 41548.

How to find the GCF of 41531 and 41548?

We will first find the prime factorization of 41531 and 41548. After we will calculate the factors of 41531 and 41548 and find the biggest common factor number .

Step-1: Prime Factorization of 41531

Prime factors of 41531 are 7, 17, 349. Prime factorization of 41531 in exponential form is:

41531 = 7¹ × 17¹ × 349¹

Step-2: 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-3: Factors of 41531

List of positive integer factors of 41531 that divides 41531 without a remainder.

1, 7, 17, 119, 349, 2443, 5933

Step-4: Factors of 41548

List of positive integer factors of 41548 that divides 41531 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41531 and 41548. The biggest common factor number is the GCF number.
So the greatest common factor 41531 and 41548 is 17.

Also check out the Least Common Multiple of 41531 and 41548