What is the Greatest Common Factor of 41580 and 41596?

Greatest common factor (GCF) of 41580 and 41596 is 4.

GCF(41580,41596) = 4

We will now calculate the prime factors of 41580 and 41596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41580 and 41596.

How to find the GCF of 41580 and 41596?

We will first find the prime factorization of 41580 and 41596. After we will calculate the factors of 41580 and 41596 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 41596

Prime factors of 41596 are 2, 10399. Prime factorization of 41596 in exponential form is:

41596 = 2² × 10399¹

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 41596

List of positive integer factors of 41596 that divides 41580 without a remainder.

1, 2, 4, 10399, 20798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41580 and 41596. The biggest common factor number is the GCF number.
So the greatest common factor 41580 and 41596 is 4.

Also check out the Least Common Multiple of 41580 and 41596