What is the Greatest Common Factor of 59040 and 59056?

Greatest common factor (GCF) of 59040 and 59056 is 16.

GCF(59040,59056) = 16

We will now calculate the prime factors of 59040 and 59056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59040 and 59056.

How to find the GCF of 59040 and 59056?

We will first find the prime factorization of 59040 and 59056. After we will calculate the factors of 59040 and 59056 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 59056

Prime factors of 59056 are 2, 3691. Prime factorization of 59056 in exponential form is:

59056 = 2⁴ × 3691¹

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 59056

List of positive integer factors of 59056 that divides 59040 without a remainder.

1, 2, 4, 8, 16, 3691, 7382, 14764, 29528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59040 and 59056. The biggest common factor number is the GCF number.
So the greatest common factor 59040 and 59056 is 16.

Also check out the Least Common Multiple of 59040 and 59056