What is the Greatest Common Factor of 41538 and 41550?

Greatest common factor (GCF) of 41538 and 41550 is 6.

GCF(41538,41550) = 6

We will now calculate the prime factors of 41538 and 41550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41538 and 41550.

How to find the GCF of 41538 and 41550?

We will first find the prime factorization of 41538 and 41550. After we will calculate the factors of 41538 and 41550 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 41550

Prime factors of 41550 are 2, 3, 5, 277. Prime factorization of 41550 in exponential form is:

41550 = 2¹ × 3¹ × 5² × 277¹

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 41550

List of positive integer factors of 41550 that divides 41538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 277, 554, 831, 1385, 1662, 2770, 4155, 6925, 8310, 13850, 20775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41538 and 41550. The biggest common factor number is the GCF number.
So the greatest common factor 41538 and 41550 is 6.

Also check out the Least Common Multiple of 41538 and 41550