What is the Greatest Common Factor of 4887 and 4896?

Greatest common factor (GCF) of 4887 and 4896 is 9.

GCF(4887,4896) = 9

We will now calculate the prime factors of 4887 and 4896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4887 and 4896.

How to find the GCF of 4887 and 4896?

We will first find the prime factorization of 4887 and 4896. After we will calculate the factors of 4887 and 4896 and find the biggest common factor number .

Step-1: Prime Factorization of 4887

Prime factors of 4887 are 3, 181. Prime factorization of 4887 in exponential form is:

4887 = 3³ × 181¹

Step-2: Prime Factorization of 4896

Prime factors of 4896 are 2, 3, 17. Prime factorization of 4896 in exponential form is:

4896 = 2⁵ × 3² × 17¹

Step-3: Factors of 4887

List of positive integer factors of 4887 that divides 4887 without a remainder.

1, 3, 9, 27, 181, 543, 1629

Step-4: Factors of 4896

List of positive integer factors of 4896 that divides 4887 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4887 and 4896. The biggest common factor number is the GCF number.
So the greatest common factor 4887 and 4896 is 9.

Also check out the Least Common Multiple of 4887 and 4896