What is the Greatest Common Factor of 52888 and 52896?

Greatest common factor (GCF) of 52888 and 52896 is 8.

GCF(52888,52896) = 8

We will now calculate the prime factors of 52888 and 52896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52888 and 52896.

How to find the GCF of 52888 and 52896?

We will first find the prime factorization of 52888 and 52896. After we will calculate the factors of 52888 and 52896 and find the biggest common factor number .

Step-1: Prime Factorization of 52888

Prime factors of 52888 are 2, 11, 601. Prime factorization of 52888 in exponential form is:

52888 = 2³ × 11¹ × 601¹

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 52888

List of positive integer factors of 52888 that divides 52888 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 601, 1202, 2404, 4808, 6611, 13222, 26444

Step-4: Factors of 52896

List of positive integer factors of 52896 that divides 52888 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 52888 and 52896. The biggest common factor number is the GCF number.
So the greatest common factor 52888 and 52896 is 8.

Also check out the Least Common Multiple of 52888 and 52896