What is the Greatest Common Factor of 41600 and 41618?

Greatest common factor (GCF) of 41600 and 41618 is 2.

GCF(41600,41618) = 2

We will now calculate the prime factors of 41600 and 41618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41618.

How to find the GCF of 41600 and 41618?

We will first find the prime factorization of 41600 and 41618. After we will calculate the factors of 41600 and 41618 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 41618

Prime factors of 41618 are 2, 20809. Prime factorization of 41618 in exponential form is:

41618 = 2¹ × 20809¹

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 41618

List of positive integer factors of 41618 that divides 41600 without a remainder.

1, 2, 20809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41618. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41618 is 2.

Also check out the Least Common Multiple of 41600 and 41618