What is the Greatest Common Factor of 58072 and 58080?

Greatest common factor (GCF) of 58072 and 58080 is 8.

GCF(58072,58080) = 8

We will now calculate the prime factors of 58072 and 58080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58072 and 58080.

How to find the GCF of 58072 and 58080?

We will first find the prime factorization of 58072 and 58080. After we will calculate the factors of 58072 and 58080 and find the biggest common factor number .

Step-1: Prime Factorization of 58072

Prime factors of 58072 are 2, 7, 17, 61. Prime factorization of 58072 in exponential form is:

58072 = 2³ × 7¹ × 17¹ × 61¹

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 58072

List of positive integer factors of 58072 that divides 58072 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 61, 68, 119, 122, 136, 238, 244, 427, 476, 488, 854, 952, 1037, 1708, 2074, 3416, 4148, 7259, 8296, 14518, 29036

Step-4: Factors of 58080

List of positive integer factors of 58080 that divides 58072 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 58072 and 58080. The biggest common factor number is the GCF number.
So the greatest common factor 58072 and 58080 is 8.

Also check out the Least Common Multiple of 58072 and 58080