What is the Greatest Common Factor of 41538 and 41556?

Greatest common factor (GCF) of 41538 and 41556 is 6.

GCF(41538,41556) = 6

We will now calculate the prime factors of 41538 and 41556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41538 and 41556.

How to find the GCF of 41538 and 41556?

We will first find the prime factorization of 41538 and 41556. After we will calculate the factors of 41538 and 41556 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41556

Prime factors of 41556 are 2, 3, 3463. Prime factorization of 41556 in exponential form is:

41556 = 2² × 3¹ × 3463¹

Step-3: Factors of 41538

List of positive integer factors of 41538 that divides 41538 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

Step-4: Factors of 41556

List of positive integer factors of 41556 that divides 41538 without a remainder.

1, 2, 3, 4, 6, 12, 3463, 6926, 10389, 13852, 20778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41538 and 41556. The biggest common factor number is the GCF number.
So the greatest common factor 41538 and 41556 is 6.

Also check out the Least Common Multiple of 41538 and 41556