What is the Greatest Common Factor of 54230 and 54240?

Greatest common factor (GCF) of 54230 and 54240 is 10.

GCF(54230,54240) = 10

We will now calculate the prime factors of 54230 and 54240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54230 and 54240.

How to find the GCF of 54230 and 54240?

We will first find the prime factorization of 54230 and 54240. After we will calculate the factors of 54230 and 54240 and find the biggest common factor number .

Step-1: Prime Factorization of 54230

Prime factors of 54230 are 2, 5, 11, 17, 29. Prime factorization of 54230 in exponential form is:

54230 = 2¹ × 5¹ × 11¹ × 17¹ × 29¹

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 54230

List of positive integer factors of 54230 that divides 54230 without a remainder.

1, 2, 5, 10, 11, 17, 22, 29, 34, 55, 58, 85, 110, 145, 170, 187, 290, 319, 374, 493, 638, 935, 986, 1595, 1870, 2465, 3190, 4930, 5423, 10846, 27115

Step-4: Factors of 54240

List of positive integer factors of 54240 that divides 54230 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 54230 and 54240. The biggest common factor number is the GCF number.
So the greatest common factor 54230 and 54240 is 10.

Also check out the Least Common Multiple of 54230 and 54240