What is the Greatest Common Factor of 32375 and 32380?

Greatest common factor (GCF) of 32375 and 32380 is 5.

GCF(32375,32380) = 5

We will now calculate the prime factors of 32375 and 32380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32375 and 32380.

How to find the GCF of 32375 and 32380?

We will first find the prime factorization of 32375 and 32380. After we will calculate the factors of 32375 and 32380 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 32380

Prime factors of 32380 are 2, 5, 1619. Prime factorization of 32380 in exponential form is:

32380 = 2² × 5¹ × 1619¹

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 32380

List of positive integer factors of 32380 that divides 32375 without a remainder.

1, 2, 4, 5, 10, 20, 1619, 3238, 6476, 8095, 16190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32375 and 32380. The biggest common factor number is the GCF number.
So the greatest common factor 32375 and 32380 is 5.

Also check out the Least Common Multiple of 32375 and 32380