What is the Greatest Common Factor of 41600 and 41604?

Greatest common factor (GCF) of 41600 and 41604 is 4.

GCF(41600,41604) = 4

We will now calculate the prime factors of 41600 and 41604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41604.

How to find the GCF of 41600 and 41604?

We will first find the prime factorization of 41600 and 41604. After we will calculate the factors of 41600 and 41604 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 41604

Prime factors of 41604 are 2, 3, 3467. Prime factorization of 41604 in exponential form is:

41604 = 2² × 3¹ × 3467¹

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 41604

List of positive integer factors of 41604 that divides 41600 without a remainder.

1, 2, 3, 4, 6, 12, 3467, 6934, 10401, 13868, 20802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41604. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41604 is 4.

Also check out the Least Common Multiple of 41600 and 41604