What is the Greatest Common Factor of 48429 and 48444?

Greatest common factor (GCF) of 48429 and 48444 is 3.

GCF(48429,48444) = 3

We will now calculate the prime factors of 48429 and 48444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48429 and 48444.

How to find the GCF of 48429 and 48444?

We will first find the prime factorization of 48429 and 48444. After we will calculate the factors of 48429 and 48444 and find the biggest common factor number .

Step-1: Prime Factorization of 48429

Prime factors of 48429 are 3, 5381. Prime factorization of 48429 in exponential form is:

48429 = 3² × 5381¹

Step-2: 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-3: Factors of 48429

List of positive integer factors of 48429 that divides 48429 without a remainder.

1, 3, 9, 5381, 16143

Step-4: Factors of 48444

List of positive integer factors of 48444 that divides 48429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48429 and 48444. The biggest common factor number is the GCF number.
So the greatest common factor 48429 and 48444 is 3.

Also check out the Least Common Multiple of 48429 and 48444