What is the Greatest Common Factor of 54213 and 54228?

Greatest common factor (GCF) of 54213 and 54228 is 3.

GCF(54213,54228) = 3

We will now calculate the prime factors of 54213 and 54228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54213 and 54228.

How to find the GCF of 54213 and 54228?

We will first find the prime factorization of 54213 and 54228. After we will calculate the factors of 54213 and 54228 and find the biggest common factor number .

Step-1: Prime Factorization of 54213

Prime factors of 54213 are 3, 17, 1063. Prime factorization of 54213 in exponential form is:

54213 = 3¹ × 17¹ × 1063¹

Step-2: Prime Factorization of 54228

Prime factors of 54228 are 2, 3, 4519. Prime factorization of 54228 in exponential form is:

54228 = 2² × 3¹ × 4519¹

Step-3: Factors of 54213

List of positive integer factors of 54213 that divides 54213 without a remainder.

1, 3, 17, 51, 1063, 3189, 18071

Step-4: Factors of 54228

List of positive integer factors of 54228 that divides 54213 without a remainder.

1, 2, 3, 4, 6, 12, 4519, 9038, 13557, 18076, 27114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54213 and 54228. The biggest common factor number is the GCF number.
So the greatest common factor 54213 and 54228 is 3.

Also check out the Least Common Multiple of 54213 and 54228