What is the Greatest Common Factor of 48444 and 48448?

Greatest common factor (GCF) of 48444 and 48448 is 4.

GCF(48444,48448) = 4

We will now calculate the prime factors of 48444 and 48448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48444 and 48448.

How to find the GCF of 48444 and 48448?

We will first find the prime factorization of 48444 and 48448. After we will calculate the factors of 48444 and 48448 and find the biggest common factor number .

Step-1: Prime Factorization of 48444

Prime factors of 48444 are 2, 3, 11, 367. Prime factorization of 48444 in exponential form is:

48444 = 2² × 3¹ × 11¹ × 367¹

Step-2: Prime Factorization of 48448

Prime factors of 48448 are 2, 757. Prime factorization of 48448 in exponential form is:

48448 = 2⁶ × 757¹

Step-3: Factors of 48444

List of positive integer factors of 48444 that divides 48444 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 367, 734, 1101, 1468, 2202, 4037, 4404, 8074, 12111, 16148, 24222

Step-4: Factors of 48448

List of positive integer factors of 48448 that divides 48444 without a remainder.

1, 2, 4, 8, 16, 32, 64, 757, 1514, 3028, 6056, 12112, 24224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48444 and 48448. The biggest common factor number is the GCF number.
So the greatest common factor 48444 and 48448 is 4.

Also check out the Least Common Multiple of 48444 and 48448