What is the Greatest Common Factor of 4872 and 4884?

Greatest common factor (GCF) of 4872 and 4884 is 12.

GCF(4872,4884) = 12

We will now calculate the prime factors of 4872 and 4884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4872 and 4884.

How to find the GCF of 4872 and 4884?

We will first find the prime factorization of 4872 and 4884. After we will calculate the factors of 4872 and 4884 and find the biggest common factor number .

Step-1: Prime Factorization of 4872

Prime factors of 4872 are 2, 3, 7, 29. Prime factorization of 4872 in exponential form is:

4872 = 2³ × 3¹ × 7¹ × 29¹

Step-2: 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-3: Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436

Step-4: Factors of 4884

List of positive integer factors of 4884 that divides 4872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4872 and 4884. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4884 is 12.

Also check out the Least Common Multiple of 4872 and 4884