What is the Greatest Common Factor of 52375 and 52384?

Greatest common factor (GCF) of 52375 and 52384 is 1.

GCF(52375,52384) = 1

We will now calculate the prime factors of 52375 and 52384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52375 and 52384.

How to find the GCF of 52375 and 52384?

We will first find the prime factorization of 52375 and 52384. After we will calculate the factors of 52375 and 52384 and find the biggest common factor number .

Step-1: Prime Factorization of 52375

Prime factors of 52375 are 5, 419. Prime factorization of 52375 in exponential form is:

52375 = 5³ × 419¹

Step-2: Prime Factorization of 52384

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

52384 = 2⁵ × 1637¹

Step-3: Factors of 52375

List of positive integer factors of 52375 that divides 52375 without a remainder.

1, 5, 25, 125, 419, 2095, 10475

Step-4: Factors of 52384

List of positive integer factors of 52384 that divides 52375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52375 and 52384. The biggest common factor number is the GCF number.
So the greatest common factor 52375 and 52384 is 1.

Also check out the Least Common Multiple of 52375 and 52384