What is the Greatest Common Factor of 9390 and 9400?

Greatest common factor (GCF) of 9390 and 9400 is 10.

GCF(9390,9400) = 10

We will now calculate the prime factors of 9390 and 9400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9390 and 9400.

How to find the GCF of 9390 and 9400?

We will first find the prime factorization of 9390 and 9400. After we will calculate the factors of 9390 and 9400 and find the biggest common factor number .

Step-1: Prime Factorization of 9390

Prime factors of 9390 are 2, 3, 5, 313. Prime factorization of 9390 in exponential form is:

9390 = 2¹ × 3¹ × 5¹ × 313¹

Step-2: Prime Factorization of 9400

Prime factors of 9400 are 2, 5, 47. Prime factorization of 9400 in exponential form is:

9400 = 2³ × 5² × 47¹

Step-3: Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695

Step-4: Factors of 9400

List of positive integer factors of 9400 that divides 9390 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9390 and 9400. The biggest common factor number is the GCF number.
So the greatest common factor 9390 and 9400 is 10.

Also check out the Least Common Multiple of 9390 and 9400