What is the Greatest Common Factor of 54219 and 54230?

Greatest common factor (GCF) of 54219 and 54230 is 11.

GCF(54219,54230) = 11

We will now calculate the prime factors of 54219 and 54230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54219 and 54230.

How to find the GCF of 54219 and 54230?

We will first find the prime factorization of 54219 and 54230. After we will calculate the factors of 54219 and 54230 and find the biggest common factor number .

Step-1: Prime Factorization of 54219

Prime factors of 54219 are 3, 11, 31, 53. Prime factorization of 54219 in exponential form is:

54219 = 3¹ × 11¹ × 31¹ × 53¹

Step-2: 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-3: Factors of 54219

List of positive integer factors of 54219 that divides 54219 without a remainder.

1, 3, 11, 31, 33, 53, 93, 159, 341, 583, 1023, 1643, 1749, 4929, 18073

Step-4: Factors of 54230

List of positive integer factors of 54230 that divides 54219 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54219 and 54230. The biggest common factor number is the GCF number.
So the greatest common factor 54219 and 54230 is 11.

Also check out the Least Common Multiple of 54219 and 54230