What is the Greatest Common Factor of 41544 and 41562?

Greatest common factor (GCF) of 41544 and 41562 is 18.

GCF(41544,41562) = 18

We will now calculate the prime factors of 41544 and 41562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41544 and 41562.

How to find the GCF of 41544 and 41562?

We will first find the prime factorization of 41544 and 41562. After we will calculate the factors of 41544 and 41562 and find the biggest common factor number .

Step-1: Prime Factorization of 41544

Prime factors of 41544 are 2, 3, 577. Prime factorization of 41544 in exponential form is:

41544 = 2³ × 3² × 577¹

Step-2: Prime Factorization of 41562

Prime factors of 41562 are 2, 3, 2309. Prime factorization of 41562 in exponential form is:

41562 = 2¹ × 3² × 2309¹

Step-3: Factors of 41544

List of positive integer factors of 41544 that divides 41544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 577, 1154, 1731, 2308, 3462, 4616, 5193, 6924, 10386, 13848, 20772

Step-4: Factors of 41562

List of positive integer factors of 41562 that divides 41544 without a remainder.

1, 2, 3, 6, 9, 18, 2309, 4618, 6927, 13854, 20781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41544 and 41562. The biggest common factor number is the GCF number.
So the greatest common factor 41544 and 41562 is 18.

Also check out the Least Common Multiple of 41544 and 41562