What is the Greatest Common Factor of 4884 and 4899?

Greatest common factor (GCF) of 4884 and 4899 is 3.

GCF(4884,4899) = 3

We will now calculate the prime factors of 4884 and 4899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4884 and 4899.

How to find the GCF of 4884 and 4899?

We will first find the prime factorization of 4884 and 4899. After we will calculate the factors of 4884 and 4899 and find the biggest common factor number .

Step-1: Prime Factorization of 4884

Prime factors of 4884 are 2, 3, 11, 37. Prime factorization of 4884 in exponential form is:

4884 = 2² × 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 4899

Prime factors of 4899 are 3, 23, 71. Prime factorization of 4899 in exponential form is:

4899 = 3¹ × 23¹ × 71¹

Step-3: Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442

Step-4: Factors of 4899

List of positive integer factors of 4899 that divides 4884 without a remainder.

1, 3, 23, 69, 71, 213, 1633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4884 and 4899. The biggest common factor number is the GCF number.
So the greatest common factor 4884 and 4899 is 3.

Also check out the Least Common Multiple of 4884 and 4899