What is the Greatest Common Factor of 8365 and 8375?

Greatest common factor (GCF) of 8365 and 8375 is 5.

GCF(8365,8375) = 5

We will now calculate the prime factors of 8365 and 8375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8365 and 8375.

How to find the GCF of 8365 and 8375?

We will first find the prime factorization of 8365 and 8375. After we will calculate the factors of 8365 and 8375 and find the biggest common factor number .

Step-1: Prime Factorization of 8365

Prime factors of 8365 are 5, 7, 239. Prime factorization of 8365 in exponential form is:

8365 = 5¹ × 7¹ × 239¹

Step-2: Prime Factorization of 8375

Prime factors of 8375 are 5, 67. Prime factorization of 8375 in exponential form is:

8375 = 5³ × 67¹

Step-3: Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1, 5, 7, 35, 239, 1195, 1673

Step-4: Factors of 8375

List of positive integer factors of 8375 that divides 8365 without a remainder.

1, 5, 25, 67, 125, 335, 1675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8365 and 8375. The biggest common factor number is the GCF number.
So the greatest common factor 8365 and 8375 is 5.

Also check out the Least Common Multiple of 8365 and 8375