What is the Greatest Common Factor of 52384 and 52404?

Greatest common factor (GCF) of 52384 and 52404 is 4.

GCF(52384,52404) = 4

We will now calculate the prime factors of 52384 and 52404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52384 and 52404.

How to find the GCF of 52384 and 52404?

We will first find the prime factorization of 52384 and 52404. After we will calculate the factors of 52384 and 52404 and find the biggest common factor number .

Step-1: Prime Factorization of 52384

Prime factors of 52384 are 2, 1637. Prime factorization of 52384 in exponential form is:

52384 = 2⁵ × 1637¹

Step-2: Prime Factorization of 52404

Prime factors of 52404 are 2, 3, 11, 397. Prime factorization of 52404 in exponential form is:

52404 = 2² × 3¹ × 11¹ × 397¹

Step-3: Factors of 52384

List of positive integer factors of 52384 that divides 52384 without a remainder.

1, 2, 4, 8, 16, 32, 1637, 3274, 6548, 13096, 26192

Step-4: Factors of 52404

List of positive integer factors of 52404 that divides 52384 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 397, 794, 1191, 1588, 2382, 4367, 4764, 8734, 13101, 17468, 26202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52384 and 52404. The biggest common factor number is the GCF number.
So the greatest common factor 52384 and 52404 is 4.

Also check out the Least Common Multiple of 52384 and 52404