What is the Greatest Common Factor of 54214 and 54230?

Greatest common factor (GCF) of 54214 and 54230 is 2.

GCF(54214,54230) = 2

We will now calculate the prime factors of 54214 and 54230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54214 and 54230.

How to find the GCF of 54214 and 54230?

We will first find the prime factorization of 54214 and 54230. After we will calculate the factors of 54214 and 54230 and find the biggest common factor number .

Step-1: Prime Factorization of 54214

Prime factors of 54214 are 2, 27107. Prime factorization of 54214 in exponential form is:

54214 = 2¹ × 27107¹

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 54214

List of positive integer factors of 54214 that divides 54214 without a remainder.

1, 2, 27107

Step-4: Factors of 54230

List of positive integer factors of 54230 that divides 54214 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 54214 and 54230. The biggest common factor number is the GCF number.
So the greatest common factor 54214 and 54230 is 2.

Also check out the Least Common Multiple of 54214 and 54230