What is the Greatest Common Factor of 54696 and 54711?

Greatest common factor (GCF) of 54696 and 54711 is 3.

GCF(54696,54711) = 3

We will now calculate the prime factors of 54696 and 54711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54696 and 54711.

How to find the GCF of 54696 and 54711?

We will first find the prime factorization of 54696 and 54711. After we will calculate the factors of 54696 and 54711 and find the biggest common factor number .

Step-1: Prime Factorization of 54696

Prime factors of 54696 are 2, 3, 43, 53. Prime factorization of 54696 in exponential form is:

54696 = 2³ × 3¹ × 43¹ × 53¹

Step-2: Prime Factorization of 54711

Prime factors of 54711 are 3, 6079. Prime factorization of 54711 in exponential form is:

54711 = 3² × 6079¹

Step-3: Factors of 54696

List of positive integer factors of 54696 that divides 54696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 344, 424, 516, 636, 1032, 1272, 2279, 4558, 6837, 9116, 13674, 18232, 27348

Step-4: Factors of 54711

List of positive integer factors of 54711 that divides 54696 without a remainder.

1, 3, 9, 6079, 18237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54696 and 54711. The biggest common factor number is the GCF number.
So the greatest common factor 54696 and 54711 is 3.

Also check out the Least Common Multiple of 54696 and 54711