What is the Greatest Common Factor of 54552 and 54558?

Greatest common factor (GCF) of 54552 and 54558 is 6.

GCF(54552,54558) = 6

We will now calculate the prime factors of 54552 and 54558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54552 and 54558.

How to find the GCF of 54552 and 54558?

We will first find the prime factorization of 54552 and 54558. After we will calculate the factors of 54552 and 54558 and find the biggest common factor number .

Step-1: Prime Factorization of 54552

Prime factors of 54552 are 2, 3, 2273. Prime factorization of 54552 in exponential form is:

54552 = 2³ × 3¹ × 2273¹

Step-2: Prime Factorization of 54558

Prime factors of 54558 are 2, 3, 7, 433. Prime factorization of 54558 in exponential form is:

54558 = 2¹ × 3² × 7¹ × 433¹

Step-3: Factors of 54552

List of positive integer factors of 54552 that divides 54552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2273, 4546, 6819, 9092, 13638, 18184, 27276

Step-4: Factors of 54558

List of positive integer factors of 54558 that divides 54552 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 433, 866, 1299, 2598, 3031, 3897, 6062, 7794, 9093, 18186, 27279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54552 and 54558. The biggest common factor number is the GCF number.
So the greatest common factor 54552 and 54558 is 6.

Also check out the Least Common Multiple of 54552 and 54558