What is the Greatest Common Factor of 9375 and 9386?

Greatest common factor (GCF) of 9375 and 9386 is 1.

GCF(9375,9386) = 1

We will now calculate the prime factors of 9375 and 9386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9375 and 9386.

How to find the GCF of 9375 and 9386?

We will first find the prime factorization of 9375 and 9386. After we will calculate the factors of 9375 and 9386 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 9386

Prime factors of 9386 are 2, 13, 19. Prime factorization of 9386 in exponential form is:

9386 = 2¹ × 13¹ × 19²

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 9386

List of positive integer factors of 9386 that divides 9375 without a remainder.

1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9375 and 9386. The biggest common factor number is the GCF number.
So the greatest common factor 9375 and 9386 is 1.

Also check out the Least Common Multiple of 9375 and 9386