What is the Greatest Common Factor of 9380 and 9400?

Greatest common factor (GCF) of 9380 and 9400 is 20.

GCF(9380,9400) = 20

We will now calculate the prime factors of 9380 and 9400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9380 and 9400.

How to find the GCF of 9380 and 9400?

We will first find the prime factorization of 9380 and 9400. After we will calculate the factors of 9380 and 9400 and find the biggest common factor number .

Step-1: Prime Factorization of 9380

Prime factors of 9380 are 2, 5, 7, 67. Prime factorization of 9380 in exponential form is:

9380 = 2² × 5¹ × 7¹ × 67¹

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 9380

List of positive integer factors of 9380 that divides 9380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690

Step-4: Factors of 9400

List of positive integer factors of 9400 that divides 9380 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 9380 and 9400. The biggest common factor number is the GCF number.
So the greatest common factor 9380 and 9400 is 20.

Also check out the Least Common Multiple of 9380 and 9400