What is the Greatest Common Factor of 52355 and 52375?

Greatest common factor (GCF) of 52355 and 52375 is 5.

GCF(52355,52375) = 5

We will now calculate the prime factors of 52355 and 52375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52355 and 52375.

How to find the GCF of 52355 and 52375?

We will first find the prime factorization of 52355 and 52375. After we will calculate the factors of 52355 and 52375 and find the biggest common factor number .

Step-1: Prime Factorization of 52355

Prime factors of 52355 are 5, 37, 283. Prime factorization of 52355 in exponential form is:

52355 = 5¹ × 37¹ × 283¹

Step-2: Prime Factorization of 52375

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

52375 = 5³ × 419¹

Step-3: Factors of 52355

List of positive integer factors of 52355 that divides 52355 without a remainder.

1, 5, 37, 185, 283, 1415, 10471

Step-4: Factors of 52375

List of positive integer factors of 52375 that divides 52355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52355 and 52375. The biggest common factor number is the GCF number.
So the greatest common factor 52355 and 52375 is 5.

Also check out the Least Common Multiple of 52355 and 52375