What is the Greatest Common Factor of 41580 and 41585?

Greatest common factor (GCF) of 41580 and 41585 is 5.

GCF(41580,41585) = 5

We will now calculate the prime factors of 41580 and 41585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41580 and 41585.

How to find the GCF of 41580 and 41585?

We will first find the prime factorization of 41580 and 41585. After we will calculate the factors of 41580 and 41585 and find the biggest common factor number .

Step-1: Prime Factorization of 41580

Prime factors of 41580 are 2, 3, 5, 7, 11. Prime factorization of 41580 in exponential form is:

41580 = 2² × 3³ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 41585

Prime factors of 41585 are 5, 8317. Prime factorization of 41585 in exponential form is:

41585 = 5¹ × 8317¹

Step-3: Factors of 41580

List of positive integer factors of 41580 that divides 41580 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 27, 28, 30, 33, 35, 36, 42, 44, 45, 54, 55, 60, 63, 66, 70, 77, 84, 90, 99, 105, 108, 110, 126, 132, 135, 140, 154, 165, 180, 189, 198, 210, 220, 231, 252, 270, 297, 308, 315, 330, 378, 385, 396, 420, 462, 495, 540, 594, 630, 660, 693, 756, 770, 924, 945, 990, 1155, 1188, 1260, 1386, 1485, 1540, 1890, 1980, 2079, 2310, 2772, 2970, 3465, 3780, 4158, 4620, 5940, 6930, 8316, 10395, 13860, 20790

Step-4: Factors of 41585

List of positive integer factors of 41585 that divides 41580 without a remainder.

1, 5, 8317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41580 and 41585. The biggest common factor number is the GCF number.
So the greatest common factor 41580 and 41585 is 5.

Also check out the Least Common Multiple of 41580 and 41585