What is the Greatest Common Factor of 59040 and 59055?

Greatest common factor (GCF) of 59040 and 59055 is 15.

GCF(59040,59055) = 15

We will now calculate the prime factors of 59040 and 59055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59040 and 59055.

How to find the GCF of 59040 and 59055?

We will first find the prime factorization of 59040 and 59055. After we will calculate the factors of 59040 and 59055 and find the biggest common factor number .

Step-1: Prime Factorization of 59040

Prime factors of 59040 are 2, 3, 5, 41. Prime factorization of 59040 in exponential form is:

59040 = 2⁵ × 3² × 5¹ × 41¹

Step-2: Prime Factorization of 59055

Prime factors of 59055 are 3, 5, 31, 127. Prime factorization of 59055 in exponential form is:

59055 = 3¹ × 5¹ × 31¹ × 127¹

Step-3: Factors of 59040

List of positive integer factors of 59040 that divides 59040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 41, 45, 48, 60, 72, 80, 82, 90, 96, 120, 123, 144, 160, 164, 180, 205, 240, 246, 288, 328, 360, 369, 410, 480, 492, 615, 656, 720, 738, 820, 984, 1230, 1312, 1440, 1476, 1640, 1845, 1968, 2460, 2952, 3280, 3690, 3936, 4920, 5904, 6560, 7380, 9840, 11808, 14760, 19680, 29520

Step-4: Factors of 59055

List of positive integer factors of 59055 that divides 59040 without a remainder.

1, 3, 5, 15, 31, 93, 127, 155, 381, 465, 635, 1905, 3937, 11811, 19685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59040 and 59055. The biggest common factor number is the GCF number.
So the greatest common factor 59040 and 59055 is 15.

Also check out the Least Common Multiple of 59040 and 59055