What is the Greatest Common Factor of 54351 and 54360?

Greatest common factor (GCF) of 54351 and 54360 is 9.

GCF(54351,54360) = 9

We will now calculate the prime factors of 54351 and 54360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54351 and 54360.

How to find the GCF of 54351 and 54360?

We will first find the prime factorization of 54351 and 54360. After we will calculate the factors of 54351 and 54360 and find the biggest common factor number .

Step-1: Prime Factorization of 54351

Prime factors of 54351 are 3, 11, 61. Prime factorization of 54351 in exponential form is:

54351 = 3⁴ × 11¹ × 61¹

Step-2: Prime Factorization of 54360

Prime factors of 54360 are 2, 3, 5, 151. Prime factorization of 54360 in exponential form is:

54360 = 2³ × 3² × 5¹ × 151¹

Step-3: Factors of 54351

List of positive integer factors of 54351 that divides 54351 without a remainder.

1, 3, 9, 11, 27, 33, 61, 81, 99, 183, 297, 549, 671, 891, 1647, 2013, 4941, 6039, 18117

Step-4: Factors of 54360

List of positive integer factors of 54360 that divides 54351 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 151, 180, 302, 360, 453, 604, 755, 906, 1208, 1359, 1510, 1812, 2265, 2718, 3020, 3624, 4530, 5436, 6040, 6795, 9060, 10872, 13590, 18120, 27180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54351 and 54360. The biggest common factor number is the GCF number.
So the greatest common factor 54351 and 54360 is 9.

Also check out the Least Common Multiple of 54351 and 54360