What is the Greatest Common Factor of 58080 and 58093?

Greatest common factor (GCF) of 58080 and 58093 is 1.

GCF(58080,58093) = 1

We will now calculate the prime factors of 58080 and 58093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58080 and 58093.

How to find the GCF of 58080 and 58093?

We will first find the prime factorization of 58080 and 58093. After we will calculate the factors of 58080 and 58093 and find the biggest common factor number .

Step-1: Prime Factorization of 58080

Prime factors of 58080 are 2, 3, 5, 11. Prime factorization of 58080 in exponential form is:

58080 = 2⁵ × 3¹ × 5¹ × 11²

Step-2: Prime Factorization of 58093

Prime factors of 58093 are 7, 43, 193. Prime factorization of 58093 in exponential form is:

58093 = 7¹ × 43¹ × 193¹

Step-3: Factors of 58080

List of positive integer factors of 58080 that divides 58080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 121, 132, 160, 165, 176, 220, 240, 242, 264, 330, 352, 363, 440, 480, 484, 528, 605, 660, 726, 880, 968, 1056, 1210, 1320, 1452, 1760, 1815, 1936, 2420, 2640, 2904, 3630, 3872, 4840, 5280, 5808, 7260, 9680, 11616, 14520, 19360, 29040

Step-4: Factors of 58093

List of positive integer factors of 58093 that divides 58080 without a remainder.

1, 7, 43, 193, 301, 1351, 8299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58080 and 58093. The biggest common factor number is the GCF number.
So the greatest common factor 58080 and 58093 is 1.

Also check out the Least Common Multiple of 58080 and 58093