What is the Greatest Common Factor of 41600 and 41608?

Greatest common factor (GCF) of 41600 and 41608 is 8.

GCF(41600,41608) = 8

We will now calculate the prime factors of 41600 and 41608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41608.

How to find the GCF of 41600 and 41608?

We will first find the prime factorization of 41600 and 41608. After we will calculate the factors of 41600 and 41608 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 41608

Prime factors of 41608 are 2, 7, 743. Prime factorization of 41608 in exponential form is:

41608 = 2³ × 7¹ × 743¹

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 41608

List of positive integer factors of 41608 that divides 41600 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 743, 1486, 2972, 5201, 5944, 10402, 20804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41608. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41608 is 8.

Also check out the Least Common Multiple of 41600 and 41608