What is the Greatest Common Factor of 54096 and 54116?

Greatest common factor (GCF) of 54096 and 54116 is 4.

GCF(54096,54116) = 4

We will now calculate the prime factors of 54096 and 54116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54096 and 54116.

How to find the GCF of 54096 and 54116?

We will first find the prime factorization of 54096 and 54116. After we will calculate the factors of 54096 and 54116 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 54116

Prime factors of 54116 are 2, 83, 163. Prime factorization of 54116 in exponential form is:

54116 = 2² × 83¹ × 163¹

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 54116

List of positive integer factors of 54116 that divides 54096 without a remainder.

1, 2, 4, 83, 163, 166, 326, 332, 652, 13529, 27058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54096 and 54116. The biggest common factor number is the GCF number.
So the greatest common factor 54096 and 54116 is 4.

Also check out the Least Common Multiple of 54096 and 54116