What is the Greatest Common Factor of 59034 and 59040?

Greatest common factor (GCF) of 59034 and 59040 is 6.

GCF(59034,59040) = 6

We will now calculate the prime factors of 59034 and 59040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59034 and 59040.

How to find the GCF of 59034 and 59040?

We will first find the prime factorization of 59034 and 59040. After we will calculate the factors of 59034 and 59040 and find the biggest common factor number .

Step-1: Prime Factorization of 59034

Prime factors of 59034 are 2, 3, 9839. Prime factorization of 59034 in exponential form is:

59034 = 2¹ × 3¹ × 9839¹

Step-2: 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-3: Factors of 59034

List of positive integer factors of 59034 that divides 59034 without a remainder.

1, 2, 3, 6, 9839, 19678, 29517

Step-4: Factors of 59040

List of positive integer factors of 59040 that divides 59034 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59034 and 59040. The biggest common factor number is the GCF number.
So the greatest common factor 59034 and 59040 is 6.

Also check out the Least Common Multiple of 59034 and 59040