What is the Greatest Common Factor of 41580 and 41594?

Greatest common factor (GCF) of 41580 and 41594 is 14.

GCF(41580,41594) = 14

We will now calculate the prime factors of 41580 and 41594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41580 and 41594.

How to find the GCF of 41580 and 41594?

We will first find the prime factorization of 41580 and 41594. After we will calculate the factors of 41580 and 41594 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 41594

Prime factors of 41594 are 2, 7, 2971. Prime factorization of 41594 in exponential form is:

41594 = 2¹ × 7¹ × 2971¹

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 41594

List of positive integer factors of 41594 that divides 41580 without a remainder.

1, 2, 7, 14, 2971, 5942, 20797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41580 and 41594. The biggest common factor number is the GCF number.
So the greatest common factor 41580 and 41594 is 14.

Also check out the Least Common Multiple of 41580 and 41594