What is the Greatest Common Factor of 58080 and 58096?

Greatest common factor (GCF) of 58080 and 58096 is 16.

GCF(58080,58096) = 16

We will now calculate the prime factors of 58080 and 58096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58080 and 58096.

How to find the GCF of 58080 and 58096?

We will first find the prime factorization of 58080 and 58096. After we will calculate the factors of 58080 and 58096 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 58096

Prime factors of 58096 are 2, 3631. Prime factorization of 58096 in exponential form is:

58096 = 2⁴ × 3631¹

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 58096

List of positive integer factors of 58096 that divides 58080 without a remainder.

1, 2, 4, 8, 16, 3631, 7262, 14524, 29048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58080 and 58096. The biggest common factor number is the GCF number.
So the greatest common factor 58080 and 58096 is 16.

Also check out the Least Common Multiple of 58080 and 58096