What is the Greatest Common Factor of 59022 and 59040?

Greatest common factor (GCF) of 59022 and 59040 is 18.

GCF(59022,59040) = 18

We will now calculate the prime factors of 59022 and 59040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59022 and 59040.

How to find the GCF of 59022 and 59040?

We will first find the prime factorization of 59022 and 59040. After we will calculate the factors of 59022 and 59040 and find the biggest common factor number .

Step-1: Prime Factorization of 59022

Prime factors of 59022 are 2, 3, 1093. Prime factorization of 59022 in exponential form is:

59022 = 2¹ × 3³ × 1093¹

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 59022

List of positive integer factors of 59022 that divides 59022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1093, 2186, 3279, 6558, 9837, 19674, 29511

Step-4: Factors of 59040

List of positive integer factors of 59040 that divides 59022 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 59022 and 59040. The biggest common factor number is the GCF number.
So the greatest common factor 59022 and 59040 is 18.

Also check out the Least Common Multiple of 59022 and 59040