What is the Greatest Common Factor of 41569 and 41580?

Greatest common factor (GCF) of 41569 and 41580 is 11.

GCF(41569,41580) = 11

We will now calculate the prime factors of 41569 and 41580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41569 and 41580.

How to find the GCF of 41569 and 41580?

We will first find the prime factorization of 41569 and 41580. After we will calculate the factors of 41569 and 41580 and find the biggest common factor number .

Step-1: Prime Factorization of 41569

Prime factors of 41569 are 11, 3779. Prime factorization of 41569 in exponential form is:

41569 = 11¹ × 3779¹

Step-2: 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-3: Factors of 41569

List of positive integer factors of 41569 that divides 41569 without a remainder.

1, 11, 3779

Step-4: Factors of 41580

List of positive integer factors of 41580 that divides 41569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41569 and 41580. The biggest common factor number is the GCF number.
So the greatest common factor 41569 and 41580 is 11.

Also check out the Least Common Multiple of 41569 and 41580