What is the Greatest Common Factor of 41504 and 41522?

Greatest common factor (GCF) of 41504 and 41522 is 2.

GCF(41504,41522) = 2

We will now calculate the prime factors of 41504 and 41522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41504 and 41522.

How to find the GCF of 41504 and 41522?

We will first find the prime factorization of 41504 and 41522. After we will calculate the factors of 41504 and 41522 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 41522

Prime factors of 41522 are 2, 13, 1597. Prime factorization of 41522 in exponential form is:

41522 = 2¹ × 13¹ × 1597¹

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 41522

List of positive integer factors of 41522 that divides 41504 without a remainder.

1, 2, 13, 26, 1597, 3194, 20761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41504 and 41522. The biggest common factor number is the GCF number.
So the greatest common factor 41504 and 41522 is 2.

Also check out the Least Common Multiple of 41504 and 41522