What is the Greatest Common Factor of 9170 and 9184?

Greatest common factor (GCF) of 9170 and 9184 is 14.

GCF(9170,9184) = 14

We will now calculate the prime factors of 9170 and 9184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9170 and 9184.

How to find the GCF of 9170 and 9184?

We will first find the prime factorization of 9170 and 9184. After we will calculate the factors of 9170 and 9184 and find the biggest common factor number .

Step-1: Prime Factorization of 9170

Prime factors of 9170 are 2, 5, 7, 131. Prime factorization of 9170 in exponential form is:

9170 = 2¹ × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 9184

Prime factors of 9184 are 2, 7, 41. Prime factorization of 9184 in exponential form is:

9184 = 2⁵ × 7¹ × 41¹

Step-3: Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585

Step-4: Factors of 9184

List of positive integer factors of 9184 that divides 9170 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9170 and 9184. The biggest common factor number is the GCF number.
So the greatest common factor 9170 and 9184 is 14.

Also check out the Least Common Multiple of 9170 and 9184