What is the Greatest Common Factor of 54504 and 54522?

Greatest common factor (GCF) of 54504 and 54522 is 18.

GCF(54504,54522) = 18

We will now calculate the prime factors of 54504 and 54522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54504 and 54522.

How to find the GCF of 54504 and 54522?

We will first find the prime factorization of 54504 and 54522. After we will calculate the factors of 54504 and 54522 and find the biggest common factor number .

Step-1: Prime Factorization of 54504

Prime factors of 54504 are 2, 3, 757. Prime factorization of 54504 in exponential form is:

54504 = 2³ × 3² × 757¹

Step-2: Prime Factorization of 54522

Prime factors of 54522 are 2, 3, 13, 233. Prime factorization of 54522 in exponential form is:

54522 = 2¹ × 3² × 13¹ × 233¹

Step-3: Factors of 54504

List of positive integer factors of 54504 that divides 54504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 757, 1514, 2271, 3028, 4542, 6056, 6813, 9084, 13626, 18168, 27252

Step-4: Factors of 54522

List of positive integer factors of 54522 that divides 54504 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 233, 234, 466, 699, 1398, 2097, 3029, 4194, 6058, 9087, 18174, 27261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54504 and 54522. The biggest common factor number is the GCF number.
So the greatest common factor 54504 and 54522 is 18.

Also check out the Least Common Multiple of 54504 and 54522