What is the Greatest Common Factor of 59040 and 59049?

Greatest common factor (GCF) of 59040 and 59049 is 9.

GCF(59040,59049) = 9

We will now calculate the prime factors of 59040 and 59049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59040 and 59049.

How to find the GCF of 59040 and 59049?

We will first find the prime factorization of 59040 and 59049. After we will calculate the factors of 59040 and 59049 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 59049

Prime factors of 59049 are 3. Prime factorization of 59049 in exponential form is:

59049 = 3¹⁰

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 59049

List of positive integer factors of 59049 that divides 59040 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59040 and 59049. The biggest common factor number is the GCF number.
So the greatest common factor 59040 and 59049 is 9.

Also check out the Least Common Multiple of 59040 and 59049