What is the Greatest Common Factor of 41600 and 41616?

Greatest common factor (GCF) of 41600 and 41616 is 16.

GCF(41600,41616) = 16

We will now calculate the prime factors of 41600 and 41616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41600 and 41616.

How to find the GCF of 41600 and 41616?

We will first find the prime factorization of 41600 and 41616. After we will calculate the factors of 41600 and 41616 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 41616

Prime factors of 41616 are 2, 3, 17. Prime factorization of 41616 in exponential form is:

41616 = 2⁴ × 3² × 17²

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 41616

List of positive integer factors of 41616 that divides 41600 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 289, 306, 408, 578, 612, 816, 867, 1156, 1224, 1734, 2312, 2448, 2601, 3468, 4624, 5202, 6936, 10404, 13872, 20808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41600 and 41616. The biggest common factor number is the GCF number.
So the greatest common factor 41600 and 41616 is 16.

Also check out the Least Common Multiple of 41600 and 41616