What is the Greatest Common Factor of 54456 and 54462?

Greatest common factor (GCF) of 54456 and 54462 is 6.

GCF(54456,54462) = 6

We will now calculate the prime factors of 54456 and 54462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54456 and 54462.

How to find the GCF of 54456 and 54462?

We will first find the prime factorization of 54456 and 54462. After we will calculate the factors of 54456 and 54462 and find the biggest common factor number .

Step-1: Prime Factorization of 54456

Prime factors of 54456 are 2, 3, 2269. Prime factorization of 54456 in exponential form is:

54456 = 2³ × 3¹ × 2269¹

Step-2: Prime Factorization of 54462

Prime factors of 54462 are 2, 3, 29, 313. Prime factorization of 54462 in exponential form is:

54462 = 2¹ × 3¹ × 29¹ × 313¹

Step-3: Factors of 54456

List of positive integer factors of 54456 that divides 54456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2269, 4538, 6807, 9076, 13614, 18152, 27228

Step-4: Factors of 54462

List of positive integer factors of 54462 that divides 54456 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 313, 626, 939, 1878, 9077, 18154, 27231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54456 and 54462. The biggest common factor number is the GCF number.
So the greatest common factor 54456 and 54462 is 6.

Also check out the Least Common Multiple of 54456 and 54462