What is the Greatest Common Factor of 54240 and 54253?

Greatest common factor (GCF) of 54240 and 54253 is 1.

GCF(54240,54253) = 1

We will now calculate the prime factors of 54240 and 54253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54240 and 54253.

How to find the GCF of 54240 and 54253?

We will first find the prime factorization of 54240 and 54253. After we will calculate the factors of 54240 and 54253 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 54253

Prime factors of 54253 are 227, 239. Prime factorization of 54253 in exponential form is:

54253 = 227¹ × 239¹

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 54253

List of positive integer factors of 54253 that divides 54240 without a remainder.

1, 227, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54240 and 54253. The biggest common factor number is the GCF number.
So the greatest common factor 54240 and 54253 is 1.

Also check out the Least Common Multiple of 54240 and 54253