What is the Greatest Common Factor of 54230 and 54248?

Greatest common factor (GCF) of 54230 and 54248 is 2.

GCF(54230,54248) = 2

We will now calculate the prime factors of 54230 and 54248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54230 and 54248.

How to find the GCF of 54230 and 54248?

We will first find the prime factorization of 54230 and 54248. After we will calculate the factors of 54230 and 54248 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 54248

Prime factors of 54248 are 2, 6781. Prime factorization of 54248 in exponential form is:

54248 = 2³ × 6781¹

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 54248

List of positive integer factors of 54248 that divides 54230 without a remainder.

1, 2, 4, 8, 6781, 13562, 27124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54230 and 54248. The biggest common factor number is the GCF number.
So the greatest common factor 54230 and 54248 is 2.

Also check out the Least Common Multiple of 54230 and 54248