What is the Greatest Common Factor of 52887 and 52896?

Greatest common factor (GCF) of 52887 and 52896 is 3.

GCF(52887,52896) = 3

We will now calculate the prime factors of 52887 and 52896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52887 and 52896.

How to find the GCF of 52887 and 52896?

We will first find the prime factorization of 52887 and 52896. After we will calculate the factors of 52887 and 52896 and find the biggest common factor number .

Step-1: Prime Factorization of 52887

Prime factors of 52887 are 3, 17, 61. Prime factorization of 52887 in exponential form is:

52887 = 3¹ × 17² × 61¹

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 52887

List of positive integer factors of 52887 that divides 52887 without a remainder.

1, 3, 17, 51, 61, 183, 289, 867, 1037, 3111, 17629

Step-4: Factors of 52896

List of positive integer factors of 52896 that divides 52887 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 52887 and 52896. The biggest common factor number is the GCF number.
So the greatest common factor 52887 and 52896 is 3.

Also check out the Least Common Multiple of 52887 and 52896