What is the Greatest Common Factor of 54348 and 54360?

Greatest common factor (GCF) of 54348 and 54360 is 12.

GCF(54348,54360) = 12

We will now calculate the prime factors of 54348 and 54360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54360.

How to find the GCF of 54348 and 54360?

We will first find the prime factorization of 54348 and 54360. After we will calculate the factors of 54348 and 54360 and find the biggest common factor number .

Step-1: Prime Factorization of 54348

Prime factors of 54348 are 2, 3, 7, 647. Prime factorization of 54348 in exponential form is:

54348 = 2² × 3¹ × 7¹ × 647¹

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 54348

List of positive integer factors of 54348 that divides 54348 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 647, 1294, 1941, 2588, 3882, 4529, 7764, 9058, 13587, 18116, 27174

Step-4: Factors of 54360

List of positive integer factors of 54360 that divides 54348 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 54348 and 54360. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54360 is 12.

Also check out the Least Common Multiple of 54348 and 54360