What is the Greatest Common Factor of 41600 and 41605?

Greatest common factor (GCF) of 41600 and 41605 is 5.

GCF(41600,41605) = 5

We will now calculate the prime factors of 41600 and 41605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41605.

How to find the GCF of 41600 and 41605?

We will first find the prime factorization of 41600 and 41605. After we will calculate the factors of 41600 and 41605 and find the biggest common factor number .

Step-1: Prime Factorization of 41600

Prime factors of 41600 are 2, 5, 13. Prime factorization of 41600 in exponential form is:

41600 = 2⁷ × 5² × 13¹

Step-2: Prime Factorization of 41605

Prime factors of 41605 are 5, 53, 157. Prime factorization of 41605 in exponential form is:

41605 = 5¹ × 53¹ × 157¹

Step-3: Factors of 41600

List of positive integer factors of 41600 that divides 41600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 64, 65, 80, 100, 104, 128, 130, 160, 200, 208, 260, 320, 325, 400, 416, 520, 640, 650, 800, 832, 1040, 1300, 1600, 1664, 2080, 2600, 3200, 4160, 5200, 8320, 10400, 20800

Step-4: Factors of 41605

List of positive integer factors of 41605 that divides 41600 without a remainder.

1, 5, 53, 157, 265, 785, 8321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41605. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41605 is 5.

Also check out the Least Common Multiple of 41600 and 41605