What is the Greatest Common Factor of 41488 and 41504?

Greatest common factor (GCF) of 41488 and 41504 is 16.

GCF(41488,41504) = 16

We will now calculate the prime factors of 41488 and 41504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41488 and 41504.

How to find the GCF of 41488 and 41504?

We will first find the prime factorization of 41488 and 41504. After we will calculate the factors of 41488 and 41504 and find the biggest common factor number .

Step-1: Prime Factorization of 41488

Prime factors of 41488 are 2, 2593. Prime factorization of 41488 in exponential form is:

41488 = 2⁴ × 2593¹

Step-2: Prime Factorization of 41504

Prime factors of 41504 are 2, 1297. Prime factorization of 41504 in exponential form is:

41504 = 2⁵ × 1297¹

Step-3: Factors of 41488

List of positive integer factors of 41488 that divides 41488 without a remainder.

1, 2, 4, 8, 16, 2593, 5186, 10372, 20744

Step-4: Factors of 41504

List of positive integer factors of 41504 that divides 41488 without a remainder.

1, 2, 4, 8, 16, 32, 1297, 2594, 5188, 10376, 20752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41488 and 41504. The biggest common factor number is the GCF number.
So the greatest common factor 41488 and 41504 is 16.

Also check out the Least Common Multiple of 41488 and 41504