What is the Greatest Common Factor of 54150 and 54160?

Greatest common factor (GCF) of 54150 and 54160 is 10.

GCF(54150,54160) = 10

We will now calculate the prime factors of 54150 and 54160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54150 and 54160.

How to find the GCF of 54150 and 54160?

We will first find the prime factorization of 54150 and 54160. After we will calculate the factors of 54150 and 54160 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 54160

Prime factors of 54160 are 2, 5, 677. Prime factorization of 54160 in exponential form is:

54160 = 2⁴ × 5¹ × 677¹

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 54160

List of positive integer factors of 54160 that divides 54150 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 677, 1354, 2708, 3385, 5416, 6770, 10832, 13540, 27080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54150 and 54160. The biggest common factor number is the GCF number.
So the greatest common factor 54150 and 54160 is 10.

Also check out the Least Common Multiple of 54150 and 54160