What is the Greatest Common Factor of 54096 and 54103?

Greatest common factor (GCF) of 54096 and 54103 is 7.

GCF(54096,54103) = 7

We will now calculate the prime factors of 54096 and 54103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54096 and 54103.

How to find the GCF of 54096 and 54103?

We will first find the prime factorization of 54096 and 54103. After we will calculate the factors of 54096 and 54103 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 54103

Prime factors of 54103 are 7, 59, 131. Prime factorization of 54103 in exponential form is:

54103 = 7¹ × 59¹ × 131¹

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 54103

List of positive integer factors of 54103 that divides 54096 without a remainder.

1, 7, 59, 131, 413, 917, 7729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54096 and 54103. The biggest common factor number is the GCF number.
So the greatest common factor 54096 and 54103 is 7.

Also check out the Least Common Multiple of 54096 and 54103