What is the Greatest Common Factor of 41504 and 41508?

Greatest common factor (GCF) of 41504 and 41508 is 4.

GCF(41504,41508) = 4

We will now calculate the prime factors of 41504 and 41508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41504 and 41508.

How to find the GCF of 41504 and 41508?

We will first find the prime factorization of 41504 and 41508. After we will calculate the factors of 41504 and 41508 and find the biggest common factor number .

Step-1: Prime Factorization of 41504

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

41504 = 2⁵ × 1297¹

Step-2: Prime Factorization of 41508

Prime factors of 41508 are 2, 3, 1153. Prime factorization of 41508 in exponential form is:

41508 = 2² × 3² × 1153¹

Step-3: Factors of 41504

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

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

Step-4: Factors of 41508

List of positive integer factors of 41508 that divides 41504 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1153, 2306, 3459, 4612, 6918, 10377, 13836, 20754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41504 and 41508. The biggest common factor number is the GCF number.
So the greatest common factor 41504 and 41508 is 4.

Also check out the Least Common Multiple of 41504 and 41508