What is the Greatest Common Factor of 9180 and 9200?

Greatest common factor (GCF) of 9180 and 9200 is 20.

GCF(9180,9200) = 20

We will now calculate the prime factors of 9180 and 9200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9180 and 9200.

How to find the GCF of 9180 and 9200?

We will first find the prime factorization of 9180 and 9200. After we will calculate the factors of 9180 and 9200 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9200

Prime factors of 9200 are 2, 5, 23. Prime factorization of 9200 in exponential form is:

9200 = 2⁴ × 5² × 23¹

Step-3: Factors of 9180

List of positive integer factors of 9180 that divides 9180 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

Step-4: Factors of 9200

List of positive integer factors of 9200 that divides 9180 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9180 and 9200. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9200 is 20.

Also check out the Least Common Multiple of 9180 and 9200