What is the Greatest Common Factor of 58080 and 58091?

Greatest common factor (GCF) of 58080 and 58091 is 11.

GCF(58080,58091) = 11

We will now calculate the prime factors of 58080 and 58091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58080 and 58091.

How to find the GCF of 58080 and 58091?

We will first find the prime factorization of 58080 and 58091. After we will calculate the factors of 58080 and 58091 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 58091

Prime factors of 58091 are 11, 5281. Prime factorization of 58091 in exponential form is:

58091 = 11¹ × 5281¹

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 58091

List of positive integer factors of 58091 that divides 58080 without a remainder.

1, 11, 5281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58080 and 58091. The biggest common factor number is the GCF number.
So the greatest common factor 58080 and 58091 is 11.

Also check out the Least Common Multiple of 58080 and 58091