What is the Greatest Common Factor of 9150 and 9168?

Greatest common factor (GCF) of 9150 and 9168 is 6.

GCF(9150,9168) = 6

We will now calculate the prime factors of 9150 and 9168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9150 and 9168.

How to find the GCF of 9150 and 9168?

We will first find the prime factorization of 9150 and 9168. After we will calculate the factors of 9150 and 9168 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 9168

Prime factors of 9168 are 2, 3, 191. Prime factorization of 9168 in exponential form is:

9168 = 2⁴ × 3¹ × 191¹

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 9168

List of positive integer factors of 9168 that divides 9150 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9150 and 9168. The biggest common factor number is the GCF number.
So the greatest common factor 9150 and 9168 is 6.

Also check out the Least Common Multiple of 9150 and 9168