What is the Greatest Common Factor of 59565 and 59580?

Greatest common factor (GCF) of 59565 and 59580 is 15.

GCF(59565,59580) = 15

We will now calculate the prime factors of 59565 and 59580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59565 and 59580.

How to find the GCF of 59565 and 59580?

We will first find the prime factorization of 59565 and 59580. After we will calculate the factors of 59565 and 59580 and find the biggest common factor number .

Step-1: Prime Factorization of 59565

Prime factors of 59565 are 3, 5, 11, 19. Prime factorization of 59565 in exponential form is:

59565 = 3¹ × 5¹ × 11¹ × 19²

Step-2: Prime Factorization of 59580

Prime factors of 59580 are 2, 3, 5, 331. Prime factorization of 59580 in exponential form is:

59580 = 2² × 3² × 5¹ × 331¹

Step-3: Factors of 59565

List of positive integer factors of 59565 that divides 59565 without a remainder.

1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 361, 627, 1045, 1083, 1805, 3135, 3971, 5415, 11913, 19855

Step-4: Factors of 59580

List of positive integer factors of 59580 that divides 59565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 331, 662, 993, 1324, 1655, 1986, 2979, 3310, 3972, 4965, 5958, 6620, 9930, 11916, 14895, 19860, 29790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59565 and 59580. The biggest common factor number is the GCF number.
So the greatest common factor 59565 and 59580 is 15.

Also check out the Least Common Multiple of 59565 and 59580