What is the Greatest Common Factor of 48444 and 48452?

Greatest common factor (GCF) of 48444 and 48452 is 4.

GCF(48444,48452) = 4

We will now calculate the prime factors of 48444 and 48452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48444 and 48452.

How to find the GCF of 48444 and 48452?

We will first find the prime factorization of 48444 and 48452. After we will calculate the factors of 48444 and 48452 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 48452

Prime factors of 48452 are 2, 12113. Prime factorization of 48452 in exponential form is:

48452 = 2² × 12113¹

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 48452

List of positive integer factors of 48452 that divides 48444 without a remainder.

1, 2, 4, 12113, 24226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48444 and 48452. The biggest common factor number is the GCF number.
So the greatest common factor 48444 and 48452 is 4.

Also check out the Least Common Multiple of 48444 and 48452