What is the Greatest Common Factor of 9186 and 9200?

Greatest common factor (GCF) of 9186 and 9200 is 2.

GCF(9186,9200) = 2

We will now calculate the prime factors of 9186 and 9200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9186 and 9200.

How to find the GCF of 9186 and 9200?

We will first find the prime factorization of 9186 and 9200. After we will calculate the factors of 9186 and 9200 and find the biggest common factor number .

Step-1: Prime Factorization of 9186

Prime factors of 9186 are 2, 3, 1531. Prime factorization of 9186 in exponential form is:

9186 = 2¹ × 3¹ × 1531¹

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 9186

List of positive integer factors of 9186 that divides 9186 without a remainder.

1, 2, 3, 6, 1531, 3062, 4593

Step-4: Factors of 9200

List of positive integer factors of 9200 that divides 9186 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 9186 and 9200. The biggest common factor number is the GCF number.
So the greatest common factor 9186 and 9200 is 2.

Also check out the Least Common Multiple of 9186 and 9200