What is the Greatest Common Factor of 32375 and 32390?

Greatest common factor (GCF) of 32375 and 32390 is 5.

GCF(32375,32390) = 5

We will now calculate the prime factors of 32375 and 32390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32375 and 32390.

How to find the GCF of 32375 and 32390?

We will first find the prime factorization of 32375 and 32390. After we will calculate the factors of 32375 and 32390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32390

Prime factors of 32390 are 2, 5, 41, 79. Prime factorization of 32390 in exponential form is:

32390 = 2¹ × 5¹ × 41¹ × 79¹

Step-3: Factors of 32375

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

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

Step-4: Factors of 32390

List of positive integer factors of 32390 that divides 32375 without a remainder.

1, 2, 5, 10, 41, 79, 82, 158, 205, 395, 410, 790, 3239, 6478, 16195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32375 and 32390. The biggest common factor number is the GCF number.
So the greatest common factor 32375 and 32390 is 5.

Also check out the Least Common Multiple of 32375 and 32390