What is the Greatest Common Factor of 9270 and 9275?

Greatest common factor (GCF) of 9270 and 9275 is 5.

GCF(9270,9275) = 5

We will now calculate the prime factors of 9270 and 9275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9270 and 9275.

How to find the GCF of 9270 and 9275?

We will first find the prime factorization of 9270 and 9275. After we will calculate the factors of 9270 and 9275 and find the biggest common factor number .

Step-1: Prime Factorization of 9270

Prime factors of 9270 are 2, 3, 5, 103. Prime factorization of 9270 in exponential form is:

9270 = 2¹ × 3² × 5¹ × 103¹

Step-2: Prime Factorization of 9275

Prime factors of 9275 are 5, 7, 53. Prime factorization of 9275 in exponential form is:

9275 = 5² × 7¹ × 53¹

Step-3: Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635

Step-4: Factors of 9275

List of positive integer factors of 9275 that divides 9270 without a remainder.

1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9270 and 9275. The biggest common factor number is the GCF number.
So the greatest common factor 9270 and 9275 is 5.

Also check out the Least Common Multiple of 9270 and 9275