What is the Greatest Common Factor of 54096 and 54112?

Greatest common factor (GCF) of 54096 and 54112 is 16.

GCF(54096,54112) = 16

We will now calculate the prime factors of 54096 and 54112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54096 and 54112.

How to find the GCF of 54096 and 54112?

We will first find the prime factorization of 54096 and 54112. After we will calculate the factors of 54096 and 54112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54112

Prime factors of 54112 are 2, 19, 89. Prime factorization of 54112 in exponential form is:

54112 = 2⁵ × 19¹ × 89¹

Step-3: Factors of 54096

List of positive integer factors of 54096 that divides 54096 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

Step-4: Factors of 54112

List of positive integer factors of 54112 that divides 54096 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 89, 152, 178, 304, 356, 608, 712, 1424, 1691, 2848, 3382, 6764, 13528, 27056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54096 and 54112. The biggest common factor number is the GCF number.
So the greatest common factor 54096 and 54112 is 16.

Also check out the Least Common Multiple of 54096 and 54112