What is the Greatest Common Factor of 9375 and 9382?

Greatest common factor (GCF) of 9375 and 9382 is 1.

GCF(9375,9382) = 1

We will now calculate the prime factors of 9375 and 9382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9375 and 9382.

How to find the GCF of 9375 and 9382?

We will first find the prime factorization of 9375 and 9382. After we will calculate the factors of 9375 and 9382 and find the biggest common factor number .

Step-1: Prime Factorization of 9375

Prime factors of 9375 are 3, 5. Prime factorization of 9375 in exponential form is:

9375 = 3¹ × 5⁵

Step-2: Prime Factorization of 9382

Prime factors of 9382 are 2, 4691. Prime factorization of 9382 in exponential form is:

9382 = 2¹ × 4691¹

Step-3: Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125

Step-4: Factors of 9382

List of positive integer factors of 9382 that divides 9375 without a remainder.

1, 2, 4691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9375 and 9382. The biggest common factor number is the GCF number.
So the greatest common factor 9375 and 9382 is 1.

Also check out the Least Common Multiple of 9375 and 9382