What is the Greatest Common Factor of 41345 and 41360?

Greatest common factor (GCF) of 41345 and 41360 is 5.

GCF(41345,41360) = 5

We will now calculate the prime factors of 41345 and 41360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41345 and 41360.

How to find the GCF of 41345 and 41360?

We will first find the prime factorization of 41345 and 41360. After we will calculate the factors of 41345 and 41360 and find the biggest common factor number .

Step-1: Prime Factorization of 41345

Prime factors of 41345 are 5, 8269. Prime factorization of 41345 in exponential form is:

41345 = 5¹ × 8269¹

Step-2: Prime Factorization of 41360

Prime factors of 41360 are 2, 5, 11, 47. Prime factorization of 41360 in exponential form is:

41360 = 2⁴ × 5¹ × 11¹ × 47¹

Step-3: Factors of 41345

List of positive integer factors of 41345 that divides 41345 without a remainder.

1, 5, 8269

Step-4: Factors of 41360

List of positive integer factors of 41360 that divides 41345 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 47, 55, 80, 88, 94, 110, 176, 188, 220, 235, 376, 440, 470, 517, 752, 880, 940, 1034, 1880, 2068, 2585, 3760, 4136, 5170, 8272, 10340, 20680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41345 and 41360. The biggest common factor number is the GCF number.
So the greatest common factor 41345 and 41360 is 5.

Also check out the Least Common Multiple of 41345 and 41360