What is the Greatest Common Factor of 52884 and 52896?

Greatest common factor (GCF) of 52884 and 52896 is 12.

GCF(52884,52896) = 12

We will now calculate the prime factors of 52884 and 52896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52884 and 52896.

How to find the GCF of 52884 and 52896?

We will first find the prime factorization of 52884 and 52896. After we will calculate the factors of 52884 and 52896 and find the biggest common factor number .

Step-1: Prime Factorization of 52884

Prime factors of 52884 are 2, 3, 13, 113. Prime factorization of 52884 in exponential form is:

52884 = 2² × 3² × 13¹ × 113¹

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 52884

List of positive integer factors of 52884 that divides 52884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 113, 117, 156, 226, 234, 339, 452, 468, 678, 1017, 1356, 1469, 2034, 2938, 4068, 4407, 5876, 8814, 13221, 17628, 26442

Step-4: Factors of 52896

List of positive integer factors of 52896 that divides 52884 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 52884 and 52896. The biggest common factor number is the GCF number.
So the greatest common factor 52884 and 52896 is 12.

Also check out the Least Common Multiple of 52884 and 52896