What is the Greatest Common Factor of 54228 and 54232?

Greatest common factor (GCF) of 54228 and 54232 is 4.

GCF(54228,54232) = 4

We will now calculate the prime factors of 54228 and 54232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54228 and 54232.

How to find the GCF of 54228 and 54232?

We will first find the prime factorization of 54228 and 54232. After we will calculate the factors of 54228 and 54232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54232

Prime factors of 54232 are 2, 6779. Prime factorization of 54232 in exponential form is:

54232 = 2³ × 6779¹

Step-3: Factors of 54228

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

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

Step-4: Factors of 54232

List of positive integer factors of 54232 that divides 54228 without a remainder.

1, 2, 4, 8, 6779, 13558, 27116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54228 and 54232. The biggest common factor number is the GCF number.
So the greatest common factor 54228 and 54232 is 4.

Also check out the Least Common Multiple of 54228 and 54232