What is the Greatest Common Factor of 54084 and 54096?

Greatest common factor (GCF) of 54084 and 54096 is 12.

GCF(54084,54096) = 12

We will now calculate the prime factors of 54084 and 54096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54084 and 54096.

How to find the GCF of 54084 and 54096?

We will first find the prime factorization of 54084 and 54096. After we will calculate the factors of 54084 and 54096 and find the biggest common factor number .

Step-1: Prime Factorization of 54084

Prime factors of 54084 are 2, 3, 4507. Prime factorization of 54084 in exponential form is:

54084 = 2² × 3¹ × 4507¹

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 54084

List of positive integer factors of 54084 that divides 54084 without a remainder.

1, 2, 3, 4, 6, 12, 4507, 9014, 13521, 18028, 27042

Step-4: Factors of 54096

List of positive integer factors of 54096 that divides 54084 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 54084 and 54096. The biggest common factor number is the GCF number.
So the greatest common factor 54084 and 54096 is 12.

Also check out the Least Common Multiple of 54084 and 54096