What is the Greatest Common Factor of 41504 and 41510?

Greatest common factor (GCF) of 41504 and 41510 is 2.

GCF(41504,41510) = 2

We will now calculate the prime factors of 41504 and 41510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41504 and 41510.

How to find the GCF of 41504 and 41510?

We will first find the prime factorization of 41504 and 41510. After we will calculate the factors of 41504 and 41510 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 41510

Prime factors of 41510 are 2, 5, 7, 593. Prime factorization of 41510 in exponential form is:

41510 = 2¹ × 5¹ × 7¹ × 593¹

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 41510

List of positive integer factors of 41510 that divides 41504 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 593, 1186, 2965, 4151, 5930, 8302, 20755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41504 and 41510. The biggest common factor number is the GCF number.
So the greatest common factor 41504 and 41510 is 2.

Also check out the Least Common Multiple of 41504 and 41510