What is the Greatest Common Factor of 54080 and 54096?

Greatest common factor (GCF) of 54080 and 54096 is 16.

GCF(54080,54096) = 16

We will now calculate the prime factors of 54080 and 54096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54080 and 54096.

How to find the GCF of 54080 and 54096?

We will first find the prime factorization of 54080 and 54096. After we will calculate the factors of 54080 and 54096 and find the biggest common factor number .

Step-1: Prime Factorization of 54080

Prime factors of 54080 are 2, 5, 13. Prime factorization of 54080 in exponential form is:

54080 = 2⁶ × 5¹ × 13²

Step-2: Prime Factorization of 54096

Prime factors of 54096 are 2, 3, 7, 23. Prime factorization of 54096 in exponential form is:

54096 = 2⁴ × 3¹ × 7² × 23¹

Step-3: Factors of 54080

List of positive integer factors of 54080 that divides 54080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 169, 208, 260, 320, 338, 416, 520, 676, 832, 845, 1040, 1352, 1690, 2080, 2704, 3380, 4160, 5408, 6760, 10816, 13520, 27040

Step-4: Factors of 54096

List of positive integer factors of 54096 that divides 54080 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 49, 56, 69, 84, 92, 98, 112, 138, 147, 161, 168, 184, 196, 276, 294, 322, 336, 368, 392, 483, 552, 588, 644, 784, 966, 1104, 1127, 1176, 1288, 1932, 2254, 2352, 2576, 3381, 3864, 4508, 6762, 7728, 9016, 13524, 18032, 27048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54080 and 54096. The biggest common factor number is the GCF number.
So the greatest common factor 54080 and 54096 is 16.

Also check out the Least Common Multiple of 54080 and 54096