What is the Greatest Common Factor of 52881 and 52896?

Greatest common factor (GCF) of 52881 and 52896 is 3.

GCF(52881,52896) = 3

We will now calculate the prime factors of 52881 and 52896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52881 and 52896.

How to find the GCF of 52881 and 52896?

We will first find the prime factorization of 52881 and 52896. After we will calculate the factors of 52881 and 52896 and find the biggest common factor number .

Step-1: Prime Factorization of 52881

Prime factors of 52881 are 3, 17627. Prime factorization of 52881 in exponential form is:

52881 = 3¹ × 17627¹

Step-2: Prime Factorization of 52896

Prime factors of 52896 are 2, 3, 19, 29. Prime factorization of 52896 in exponential form is:

52896 = 2⁵ × 3¹ × 19¹ × 29¹

Step-3: Factors of 52881

List of positive integer factors of 52881 that divides 52881 without a remainder.

1, 3, 17627

Step-4: Factors of 52896

List of positive integer factors of 52896 that divides 52881 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 32, 38, 48, 57, 58, 76, 87, 96, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 608, 696, 912, 928, 1102, 1392, 1653, 1824, 2204, 2784, 3306, 4408, 6612, 8816, 13224, 17632, 26448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52881 and 52896. The biggest common factor number is the GCF number.
So the greatest common factor 52881 and 52896 is 3.

Also check out the Least Common Multiple of 52881 and 52896