What is the Greatest Common Factor of 54150 and 54169?

Greatest common factor (GCF) of 54150 and 54169 is 19.

GCF(54150,54169) = 19

We will now calculate the prime factors of 54150 and 54169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54150 and 54169.

How to find the GCF of 54150 and 54169?

We will first find the prime factorization of 54150 and 54169. After we will calculate the factors of 54150 and 54169 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 54169

Prime factors of 54169 are 19, 2851. Prime factorization of 54169 in exponential form is:

54169 = 19¹ × 2851¹

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 54169

List of positive integer factors of 54169 that divides 54150 without a remainder.

1, 19, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54150 and 54169. The biggest common factor number is the GCF number.
So the greatest common factor 54150 and 54169 is 19.

Also check out the Least Common Multiple of 54150 and 54169