What is the Greatest Common Factor of 54360 and 54372?

Greatest common factor (GCF) of 54360 and 54372 is 12.

GCF(54360,54372) = 12

We will now calculate the prime factors of 54360 and 54372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54360 and 54372.

How to find the GCF of 54360 and 54372?

We will first find the prime factorization of 54360 and 54372. After we will calculate the factors of 54360 and 54372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54372

Prime factors of 54372 are 2, 3, 23, 197. Prime factorization of 54372 in exponential form is:

54372 = 2² × 3¹ × 23¹ × 197¹

Step-3: Factors of 54360

List of positive integer factors of 54360 that divides 54360 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

Step-4: Factors of 54372

List of positive integer factors of 54372 that divides 54360 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 197, 276, 394, 591, 788, 1182, 2364, 4531, 9062, 13593, 18124, 27186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54360 and 54372. The biggest common factor number is the GCF number.
So the greatest common factor 54360 and 54372 is 12.

Also check out the Least Common Multiple of 54360 and 54372