What is the Greatest Common Factor of 9138 and 9150?

Greatest common factor (GCF) of 9138 and 9150 is 6.

GCF(9138,9150) = 6

We will now calculate the prime factors of 9138 and 9150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9138 and 9150.

How to find the GCF of 9138 and 9150?

We will first find the prime factorization of 9138 and 9150. After we will calculate the factors of 9138 and 9150 and find the biggest common factor number .

Step-1: Prime Factorization of 9138

Prime factors of 9138 are 2, 3, 1523. Prime factorization of 9138 in exponential form is:

9138 = 2¹ × 3¹ × 1523¹

Step-2: 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-3: Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569

Step-4: Factors of 9150

List of positive integer factors of 9150 that divides 9138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9138 and 9150. The biggest common factor number is the GCF number.
So the greatest common factor 9138 and 9150 is 6.

Also check out the Least Common Multiple of 9138 and 9150