What is the Greatest Common Factor of 54150 and 54168?

Greatest common factor (GCF) of 54150 and 54168 is 6.

GCF(54150,54168) = 6

We will now calculate the prime factors of 54150 and 54168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54150 and 54168.

How to find the GCF of 54150 and 54168?

We will first find the prime factorization of 54150 and 54168. After we will calculate the factors of 54150 and 54168 and find the biggest common factor number .

Step-1: Prime Factorization of 54150

Prime factors of 54150 are 2, 3, 5, 19. Prime factorization of 54150 in exponential form is:

54150 = 2¹ × 3¹ × 5² × 19²

Step-2: Prime Factorization of 54168

Prime factors of 54168 are 2, 3, 37, 61. Prime factorization of 54168 in exponential form is:

54168 = 2³ × 3¹ × 37¹ × 61¹

Step-3: Factors of 54150

List of positive integer factors of 54150 that divides 54150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 361, 475, 570, 722, 950, 1083, 1425, 1805, 2166, 2850, 3610, 5415, 9025, 10830, 18050, 27075

Step-4: Factors of 54168

List of positive integer factors of 54168 that divides 54150 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 61, 74, 111, 122, 148, 183, 222, 244, 296, 366, 444, 488, 732, 888, 1464, 2257, 4514, 6771, 9028, 13542, 18056, 27084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54150 and 54168. The biggest common factor number is the GCF number.
So the greatest common factor 54150 and 54168 is 6.

Also check out the Least Common Multiple of 54150 and 54168