What is the Greatest Common Factor of 54096 and 54101?

Greatest common factor (GCF) of 54096 and 54101 is 1.

GCF(54096,54101) = 1

We will now calculate the prime factors of 54096 and 54101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54096 and 54101.

How to find the GCF of 54096 and 54101?

We will first find the prime factorization of 54096 and 54101. After we will calculate the factors of 54096 and 54101 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 54101

Prime factors of 54101 are 54101. Prime factorization of 54101 in exponential form is:

54101 = 54101¹

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 54101

List of positive integer factors of 54101 that divides 54096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54096 and 54101. The biggest common factor number is the GCF number.
So the greatest common factor 54096 and 54101 is 1.

Also check out the Least Common Multiple of 54096 and 54101