What is the Greatest Common Factor of 25365 and 25375?

Greatest common factor (GCF) of 25365 and 25375 is 5.

GCF(25365,25375) = 5

We will now calculate the prime factors of 25365 and 25375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25365 and 25375.

How to find the GCF of 25365 and 25375?

We will first find the prime factorization of 25365 and 25375. After we will calculate the factors of 25365 and 25375 and find the biggest common factor number .

Step-1: Prime Factorization of 25365

Prime factors of 25365 are 3, 5, 19, 89. Prime factorization of 25365 in exponential form is:

25365 = 3¹ × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 25375

Prime factors of 25375 are 5, 7, 29. Prime factorization of 25375 in exponential form is:

25375 = 5³ × 7¹ × 29¹

Step-3: Factors of 25365

List of positive integer factors of 25365 that divides 25365 without a remainder.

1, 3, 5, 15, 19, 57, 89, 95, 267, 285, 445, 1335, 1691, 5073, 8455

Step-4: Factors of 25375

List of positive integer factors of 25375 that divides 25365 without a remainder.

1, 5, 7, 25, 29, 35, 125, 145, 175, 203, 725, 875, 1015, 3625, 5075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25365 and 25375. The biggest common factor number is the GCF number.
So the greatest common factor 25365 and 25375 is 5.

Also check out the Least Common Multiple of 25365 and 25375