What is the Greatest Common Factor of 48444 and 48449?

Greatest common factor (GCF) of 48444 and 48449 is 1.

GCF(48444,48449) = 1

We will now calculate the prime factors of 48444 and 48449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48444 and 48449.

How to find the GCF of 48444 and 48449?

We will first find the prime factorization of 48444 and 48449. After we will calculate the factors of 48444 and 48449 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 48449

Prime factors of 48449 are 48449. Prime factorization of 48449 in exponential form is:

48449 = 48449¹

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 48449

List of positive integer factors of 48449 that divides 48444 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48444 and 48449. The biggest common factor number is the GCF number.
So the greatest common factor 48444 and 48449 is 1.

Also check out the Least Common Multiple of 48444 and 48449