What is the Greatest Common Factor of 9400 and 9415?

Greatest common factor (GCF) of 9400 and 9415 is 5.

GCF(9400,9415) = 5

We will now calculate the prime factors of 9400 and 9415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9400 and 9415.

How to find the GCF of 9400 and 9415?

We will first find the prime factorization of 9400 and 9415. After we will calculate the factors of 9400 and 9415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9415

Prime factors of 9415 are 5, 7, 269. Prime factorization of 9415 in exponential form is:

9415 = 5¹ × 7¹ × 269¹

Step-3: Factors of 9400

List of positive integer factors of 9400 that divides 9400 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

Step-4: Factors of 9415

List of positive integer factors of 9415 that divides 9400 without a remainder.

1, 5, 7, 35, 269, 1345, 1883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9400 and 9415. The biggest common factor number is the GCF number.
So the greatest common factor 9400 and 9415 is 5.

Also check out the Least Common Multiple of 9400 and 9415