What is the Greatest Common Factor of 58071 and 58080?

Greatest common factor (GCF) of 58071 and 58080 is 3.

GCF(58071,58080) = 3

We will now calculate the prime factors of 58071 and 58080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58071 and 58080.

How to find the GCF of 58071 and 58080?

We will first find the prime factorization of 58071 and 58080. After we will calculate the factors of 58071 and 58080 and find the biggest common factor number .

Step-1: Prime Factorization of 58071

Prime factors of 58071 are 3, 13, 1489. Prime factorization of 58071 in exponential form is:

58071 = 3¹ × 13¹ × 1489¹

Step-2: 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-3: Factors of 58071

List of positive integer factors of 58071 that divides 58071 without a remainder.

1, 3, 13, 39, 1489, 4467, 19357

Step-4: Factors of 58080

List of positive integer factors of 58080 that divides 58071 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58071 and 58080. The biggest common factor number is the GCF number.
So the greatest common factor 58071 and 58080 is 3.

Also check out the Least Common Multiple of 58071 and 58080