What is the Greatest Common Factor of 58065 and 58080?

Greatest common factor (GCF) of 58065 and 58080 is 15.

GCF(58065,58080) = 15

We will now calculate the prime factors of 58065 and 58080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58065 and 58080.

How to find the GCF of 58065 and 58080?

We will first find the prime factorization of 58065 and 58080. After we will calculate the factors of 58065 and 58080 and find the biggest common factor number .

Step-1: Prime Factorization of 58065

Prime factors of 58065 are 3, 5, 7, 79. Prime factorization of 58065 in exponential form is:

58065 = 3¹ × 5¹ × 7² × 79¹

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 58065

List of positive integer factors of 58065 that divides 58065 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 79, 105, 147, 237, 245, 395, 553, 735, 1185, 1659, 2765, 3871, 8295, 11613, 19355

Step-4: Factors of 58080

List of positive integer factors of 58080 that divides 58065 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 58065 and 58080. The biggest common factor number is the GCF number.
So the greatest common factor 58065 and 58080 is 15.

Also check out the Least Common Multiple of 58065 and 58080