What is the Greatest Common Factor of 41523 and 41538?

Greatest common factor (GCF) of 41523 and 41538 is 3.

GCF(41523,41538) = 3

We will now calculate the prime factors of 41523 and 41538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41523 and 41538.

How to find the GCF of 41523 and 41538?

We will first find the prime factorization of 41523 and 41538. After we will calculate the factors of 41523 and 41538 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 41538

Prime factors of 41538 are 2, 3, 7, 23, 43. Prime factorization of 41538 in exponential form is:

41538 = 2¹ × 3¹ × 7¹ × 23¹ × 43¹

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 41538

List of positive integer factors of 41538 that divides 41523 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 43, 46, 69, 86, 129, 138, 161, 258, 301, 322, 483, 602, 903, 966, 989, 1806, 1978, 2967, 5934, 6923, 13846, 20769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41523 and 41538. The biggest common factor number is the GCF number.
So the greatest common factor 41523 and 41538 is 3.

Also check out the Least Common Multiple of 41523 and 41538