What is the Greatest Common Factor of 9150 and 9166?

Greatest common factor (GCF) of 9150 and 9166 is 2.

GCF(9150,9166) = 2

We will now calculate the prime factors of 9150 and 9166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9150 and 9166.

How to find the GCF of 9150 and 9166?

We will first find the prime factorization of 9150 and 9166. After we will calculate the factors of 9150 and 9166 and find the biggest common factor number .

Step-1: Prime Factorization of 9150

Prime factors of 9150 are 2, 3, 5, 61. Prime factorization of 9150 in exponential form is:

9150 = 2¹ × 3¹ × 5² × 61¹

Step-2: Prime Factorization of 9166

Prime factors of 9166 are 2, 4583. Prime factorization of 9166 in exponential form is:

9166 = 2¹ × 4583¹

Step-3: Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575

Step-4: Factors of 9166

List of positive integer factors of 9166 that divides 9150 without a remainder.

1, 2, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9150 and 9166. The biggest common factor number is the GCF number.
So the greatest common factor 9150 and 9166 is 2.

Also check out the Least Common Multiple of 9150 and 9166