What is the Greatest Common Factor of 59565 and 59584?

Greatest common factor (GCF) of 59565 and 59584 is 19.

GCF(59565,59584) = 19

We will now calculate the prime factors of 59565 and 59584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59565 and 59584.

How to find the GCF of 59565 and 59584?

We will first find the prime factorization of 59565 and 59584. After we will calculate the factors of 59565 and 59584 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 59584

Prime factors of 59584 are 2, 7, 19. Prime factorization of 59584 in exponential form is:

59584 = 2⁶ × 7² × 19¹

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 59584

List of positive integer factors of 59584 that divides 59565 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 49, 56, 64, 76, 98, 112, 133, 152, 196, 224, 266, 304, 392, 448, 532, 608, 784, 931, 1064, 1216, 1568, 1862, 2128, 3136, 3724, 4256, 7448, 8512, 14896, 29792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59565 and 59584. The biggest common factor number is the GCF number.
So the greatest common factor 59565 and 59584 is 19.

Also check out the Least Common Multiple of 59565 and 59584