What is the Greatest Common Factor of 36365 and 36375?

Greatest common factor (GCF) of 36365 and 36375 is 5.

GCF(36365,36375) = 5

We will now calculate the prime factors of 36365 and 36375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36365 and 36375.

How to find the GCF of 36365 and 36375?

We will first find the prime factorization of 36365 and 36375. After we will calculate the factors of 36365 and 36375 and find the biggest common factor number .

Step-1: Prime Factorization of 36365

Prime factors of 36365 are 5, 7, 1039. Prime factorization of 36365 in exponential form is:

36365 = 5¹ × 7¹ × 1039¹

Step-2: Prime Factorization of 36375

Prime factors of 36375 are 3, 5, 97. Prime factorization of 36375 in exponential form is:

36375 = 3¹ × 5³ × 97¹

Step-3: Factors of 36365

List of positive integer factors of 36365 that divides 36365 without a remainder.

1, 5, 7, 35, 1039, 5195, 7273

Step-4: Factors of 36375

List of positive integer factors of 36375 that divides 36365 without a remainder.

1, 3, 5, 15, 25, 75, 97, 125, 291, 375, 485, 1455, 2425, 7275, 12125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36365 and 36375. The biggest common factor number is the GCF number.
So the greatest common factor 36365 and 36375 is 5.

Also check out the Least Common Multiple of 36365 and 36375