What is the Greatest Common Factor of 32360 and 32375?

Greatest common factor (GCF) of 32360 and 32375 is 5.

GCF(32360,32375) = 5

We will now calculate the prime factors of 32360 and 32375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32360 and 32375.

How to find the GCF of 32360 and 32375?

We will first find the prime factorization of 32360 and 32375. After we will calculate the factors of 32360 and 32375 and find the biggest common factor number .

Step-1: Prime Factorization of 32360

Prime factors of 32360 are 2, 5, 809. Prime factorization of 32360 in exponential form is:

32360 = 2³ × 5¹ × 809¹

Step-2: Prime Factorization of 32375

Prime factors of 32375 are 5, 7, 37. Prime factorization of 32375 in exponential form is:

32375 = 5³ × 7¹ × 37¹

Step-3: Factors of 32360

List of positive integer factors of 32360 that divides 32360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 809, 1618, 3236, 4045, 6472, 8090, 16180

Step-4: Factors of 32375

List of positive integer factors of 32375 that divides 32360 without a remainder.

1, 5, 7, 25, 35, 37, 125, 175, 185, 259, 875, 925, 1295, 4625, 6475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32360 and 32375. The biggest common factor number is the GCF number.
So the greatest common factor 32360 and 32375 is 5.

Also check out the Least Common Multiple of 32360 and 32375