What is the Greatest Common Factor of 41536 and 41544?

Greatest common factor (GCF) of 41536 and 41544 is 8.

GCF(41536,41544) = 8

We will now calculate the prime factors of 41536 and 41544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41536 and 41544.

How to find the GCF of 41536 and 41544?

We will first find the prime factorization of 41536 and 41544. After we will calculate the factors of 41536 and 41544 and find the biggest common factor number .

Step-1: Prime Factorization of 41536

Prime factors of 41536 are 2, 11, 59. Prime factorization of 41536 in exponential form is:

41536 = 2⁶ × 11¹ × 59¹

Step-2: 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-3: Factors of 41536

List of positive integer factors of 41536 that divides 41536 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 176, 236, 352, 472, 649, 704, 944, 1298, 1888, 2596, 3776, 5192, 10384, 20768

Step-4: Factors of 41544

List of positive integer factors of 41544 that divides 41536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41536 and 41544. The biggest common factor number is the GCF number.
So the greatest common factor 41536 and 41544 is 8.

Also check out the Least Common Multiple of 41536 and 41544