What is the Greatest Common Factor of 52375 and 52390?

Greatest common factor (GCF) of 52375 and 52390 is 5.

GCF(52375,52390) = 5

We will now calculate the prime factors of 52375 and 52390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52375 and 52390.

How to find the GCF of 52375 and 52390?

We will first find the prime factorization of 52375 and 52390. After we will calculate the factors of 52375 and 52390 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 52390

Prime factors of 52390 are 2, 5, 13, 31. Prime factorization of 52390 in exponential form is:

52390 = 2¹ × 5¹ × 13² × 31¹

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 52390

List of positive integer factors of 52390 that divides 52375 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 169, 310, 338, 403, 806, 845, 1690, 2015, 4030, 5239, 10478, 26195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52375 and 52390. The biggest common factor number is the GCF number.
So the greatest common factor 52375 and 52390 is 5.

Also check out the Least Common Multiple of 52375 and 52390