What is the Greatest Common Factor of 41548 and 41564?

Greatest common factor (GCF) of 41548 and 41564 is 4.

GCF(41548,41564) = 4

We will now calculate the prime factors of 41548 and 41564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41548 and 41564.

How to find the GCF of 41548 and 41564?

We will first find the prime factorization of 41548 and 41564. After we will calculate the factors of 41548 and 41564 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 41564

Prime factors of 41564 are 2, 10391. Prime factorization of 41564 in exponential form is:

41564 = 2² × 10391¹

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 41564

List of positive integer factors of 41564 that divides 41548 without a remainder.

1, 2, 4, 10391, 20782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41548 and 41564. The biggest common factor number is the GCF number.
So the greatest common factor 41548 and 41564 is 4.

Also check out the Least Common Multiple of 41548 and 41564