What is the Greatest Common Factor of 52896 and 52900?

Greatest common factor (GCF) of 52896 and 52900 is 4.

GCF(52896,52900) = 4

We will now calculate the prime factors of 52896 and 52900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52896 and 52900.

How to find the GCF of 52896 and 52900?

We will first find the prime factorization of 52896 and 52900. After we will calculate the factors of 52896 and 52900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52900

Prime factors of 52900 are 2, 5, 23. Prime factorization of 52900 in exponential form is:

52900 = 2² × 5² × 23²

Step-3: Factors of 52896

List of positive integer factors of 52896 that divides 52896 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

Step-4: Factors of 52900

List of positive integer factors of 52900 that divides 52896 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 529, 575, 1058, 1150, 2116, 2300, 2645, 5290, 10580, 13225, 26450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52896 and 52900. The biggest common factor number is the GCF number.
So the greatest common factor 52896 and 52900 is 4.

Also check out the Least Common Multiple of 52896 and 52900