What is the Greatest Common Factor of 52896 and 52912?

Greatest common factor (GCF) of 52896 and 52912 is 16.

GCF(52896,52912) = 16

We will now calculate the prime factors of 52896 and 52912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52896 and 52912.

How to find the GCF of 52896 and 52912?

We will first find the prime factorization of 52896 and 52912. After we will calculate the factors of 52896 and 52912 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 52912

Prime factors of 52912 are 2, 3307. Prime factorization of 52912 in exponential form is:

52912 = 2⁴ × 3307¹

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 52912

List of positive integer factors of 52912 that divides 52896 without a remainder.

1, 2, 4, 8, 16, 3307, 6614, 13228, 26456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52896 and 52912. The biggest common factor number is the GCF number.
So the greatest common factor 52896 and 52912 is 16.

Also check out the Least Common Multiple of 52896 and 52912