What is the Greatest Common Factor of 54096 and 54105?

Greatest common factor (GCF) of 54096 and 54105 is 3.

GCF(54096,54105) = 3

We will now calculate the prime factors of 54096 and 54105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54096 and 54105.

How to find the GCF of 54096 and 54105?

We will first find the prime factorization of 54096 and 54105. After we will calculate the factors of 54096 and 54105 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 54105

Prime factors of 54105 are 3, 5, 3607. Prime factorization of 54105 in exponential form is:

54105 = 3¹ × 5¹ × 3607¹

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 54105

List of positive integer factors of 54105 that divides 54096 without a remainder.

1, 3, 5, 15, 3607, 10821, 18035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54096 and 54105. The biggest common factor number is the GCF number.
So the greatest common factor 54096 and 54105 is 3.

Also check out the Least Common Multiple of 54096 and 54105