What is the Greatest Common Factor of 9170 and 9180?

Greatest common factor (GCF) of 9170 and 9180 is 10.

GCF(9170,9180) = 10

We will now calculate the prime factors of 9170 and 9180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9170 and 9180.

How to find the GCF of 9170 and 9180?

We will first find the prime factorization of 9170 and 9180. After we will calculate the factors of 9170 and 9180 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 9180

Prime factors of 9180 are 2, 3, 5, 17. Prime factorization of 9180 in exponential form is:

9180 = 2² × 3³ × 5¹ × 17¹

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 9180

List of positive integer factors of 9180 that divides 9170 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9170 and 9180. The biggest common factor number is the GCF number.
So the greatest common factor 9170 and 9180 is 10.

Also check out the Least Common Multiple of 9170 and 9180