What is the Greatest Common Factor of 54240 and 54245?

Greatest common factor (GCF) of 54240 and 54245 is 5.

GCF(54240,54245) = 5

We will now calculate the prime factors of 54240 and 54245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54240 and 54245.

How to find the GCF of 54240 and 54245?

We will first find the prime factorization of 54240 and 54245. After we will calculate the factors of 54240 and 54245 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 54245

Prime factors of 54245 are 5, 19, 571. Prime factorization of 54245 in exponential form is:

54245 = 5¹ × 19¹ × 571¹

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 54245

List of positive integer factors of 54245 that divides 54240 without a remainder.

1, 5, 19, 95, 571, 2855, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54240 and 54245. The biggest common factor number is the GCF number.
So the greatest common factor 54240 and 54245 is 5.

Also check out the Least Common Multiple of 54240 and 54245