What is the Greatest Common Factor of 41580 and 41590?

Greatest common factor (GCF) of 41580 and 41590 is 10.

GCF(41580,41590) = 10

We will now calculate the prime factors of 41580 and 41590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41580 and 41590.

How to find the GCF of 41580 and 41590?

We will first find the prime factorization of 41580 and 41590. After we will calculate the factors of 41580 and 41590 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 41590

Prime factors of 41590 are 2, 5, 4159. Prime factorization of 41590 in exponential form is:

41590 = 2¹ × 5¹ × 4159¹

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 41590

List of positive integer factors of 41590 that divides 41580 without a remainder.

1, 2, 5, 10, 4159, 8318, 20795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41580 and 41590. The biggest common factor number is the GCF number.
So the greatest common factor 41580 and 41590 is 10.

Also check out the Least Common Multiple of 41580 and 41590