What is the Greatest Common Factor of 41548 and 41565?

Greatest common factor (GCF) of 41548 and 41565 is 17.

GCF(41548,41565) = 17

We will now calculate the prime factors of 41548 and 41565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41548 and 41565.

How to find the GCF of 41548 and 41565?

We will first find the prime factorization of 41548 and 41565. After we will calculate the factors of 41548 and 41565 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 41565

Prime factors of 41565 are 3, 5, 17, 163. Prime factorization of 41565 in exponential form is:

41565 = 3¹ × 5¹ × 17¹ × 163¹

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 41565

List of positive integer factors of 41565 that divides 41548 without a remainder.

1, 3, 5, 15, 17, 51, 85, 163, 255, 489, 815, 2445, 2771, 8313, 13855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41548 and 41565. The biggest common factor number is the GCF number.
So the greatest common factor 41548 and 41565 is 17.

Also check out the Least Common Multiple of 41548 and 41565