What is the Greatest Common Factor of 41523 and 41541?

Greatest common factor (GCF) of 41523 and 41541 is 3.

GCF(41523,41541) = 3

We will now calculate the prime factors of 41523 and 41541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41523 and 41541.

How to find the GCF of 41523 and 41541?

We will first find the prime factorization of 41523 and 41541. After we will calculate the factors of 41523 and 41541 and find the biggest common factor number .

Step-1: Prime Factorization of 41523

Prime factors of 41523 are 3, 13841. Prime factorization of 41523 in exponential form is:

41523 = 3¹ × 13841¹

Step-2: Prime Factorization of 41541

Prime factors of 41541 are 3, 61, 227. Prime factorization of 41541 in exponential form is:

41541 = 3¹ × 61¹ × 227¹

Step-3: Factors of 41523

List of positive integer factors of 41523 that divides 41523 without a remainder.

1, 3, 13841

Step-4: Factors of 41541

List of positive integer factors of 41541 that divides 41523 without a remainder.

1, 3, 61, 183, 227, 681, 13847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41523 and 41541. The biggest common factor number is the GCF number.
So the greatest common factor 41523 and 41541 is 3.

Also check out the Least Common Multiple of 41523 and 41541