What is the Greatest Common Factor of 54240 and 54255?

Greatest common factor (GCF) of 54240 and 54255 is 15.

GCF(54240,54255) = 15

We will now calculate the prime factors of 54240 and 54255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54240 and 54255.

How to find the GCF of 54240 and 54255?

We will first find the prime factorization of 54240 and 54255. After we will calculate the factors of 54240 and 54255 and find the biggest common factor number .

Step-1: Prime Factorization of 54240

Prime factors of 54240 are 2, 3, 5, 113. Prime factorization of 54240 in exponential form is:

54240 = 2⁵ × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 54255

Prime factors of 54255 are 3, 5, 3617. Prime factorization of 54255 in exponential form is:

54255 = 3¹ × 5¹ × 3617¹

Step-3: Factors of 54240

List of positive integer factors of 54240 that divides 54240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 113, 120, 160, 226, 240, 339, 452, 480, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 3616, 4520, 5424, 6780, 9040, 10848, 13560, 18080, 27120

Step-4: Factors of 54255

List of positive integer factors of 54255 that divides 54240 without a remainder.

1, 3, 5, 15, 3617, 10851, 18085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54240 and 54255. The biggest common factor number is the GCF number.
So the greatest common factor 54240 and 54255 is 15.

Also check out the Least Common Multiple of 54240 and 54255