What is the Greatest Common Factor of 54227 and 54240?

Greatest common factor (GCF) of 54227 and 54240 is 1.

GCF(54227,54240) = 1

We will now calculate the prime factors of 54227 and 54240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54227 and 54240.

How to find the GCF of 54227 and 54240?

We will first find the prime factorization of 54227 and 54240. After we will calculate the factors of 54227 and 54240 and find the biggest common factor number .

Step-1: Prime Factorization of 54227

Prime factors of 54227 are 211, 257. Prime factorization of 54227 in exponential form is:

54227 = 211¹ × 257¹

Step-2: 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-3: Factors of 54227

List of positive integer factors of 54227 that divides 54227 without a remainder.

1, 211, 257

Step-4: Factors of 54240

List of positive integer factors of 54240 that divides 54227 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54227 and 54240. The biggest common factor number is the GCF number.
So the greatest common factor 54227 and 54240 is 1.

Also check out the Least Common Multiple of 54227 and 54240