What is the Greatest Common Factor of 4874 and 4884?

Greatest common factor (GCF) of 4874 and 4884 is 2.

GCF(4874,4884) = 2

We will now calculate the prime factors of 4874 and 4884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4874 and 4884.

How to find the GCF of 4874 and 4884?

We will first find the prime factorization of 4874 and 4884. After we will calculate the factors of 4874 and 4884 and find the biggest common factor number .

Step-1: Prime Factorization of 4874

Prime factors of 4874 are 2, 2437. Prime factorization of 4874 in exponential form is:

4874 = 2¹ × 2437¹

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 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1, 2, 2437

Step-4: Factors of 4884

List of positive integer factors of 4884 that divides 4874 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 4874 and 4884. The biggest common factor number is the GCF number.
So the greatest common factor 4874 and 4884 is 2.

Also check out the Least Common Multiple of 4874 and 4884