What is the Greatest Common Factor of 44228 and 44248?

Greatest common factor (GCF) of 44228 and 44248 is 4.

GCF(44228,44248) = 4

We will now calculate the prime factors of 44228 and 44248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44228 and 44248.

How to find the GCF of 44228 and 44248?

We will first find the prime factorization of 44228 and 44248. After we will calculate the factors of 44228 and 44248 and find the biggest common factor number .

Step-1: Prime Factorization of 44228

Prime factors of 44228 are 2, 11057. Prime factorization of 44228 in exponential form is:

44228 = 2² × 11057¹

Step-2: Prime Factorization of 44248

Prime factors of 44248 are 2, 5531. Prime factorization of 44248 in exponential form is:

44248 = 2³ × 5531¹

Step-3: Factors of 44228

List of positive integer factors of 44228 that divides 44228 without a remainder.

1, 2, 4, 11057, 22114

Step-4: Factors of 44248

List of positive integer factors of 44248 that divides 44228 without a remainder.

1, 2, 4, 8, 5531, 11062, 22124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44228 and 44248. The biggest common factor number is the GCF number.
So the greatest common factor 44228 and 44248 is 4.

Also check out the Least Common Multiple of 44228 and 44248