What is the Greatest Common Factor of 9270 and 9281?

Greatest common factor (GCF) of 9270 and 9281 is 1.

GCF(9270,9281) = 1

We will now calculate the prime factors of 9270 and 9281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9270 and 9281.

How to find the GCF of 9270 and 9281?

We will first find the prime factorization of 9270 and 9281. After we will calculate the factors of 9270 and 9281 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 9281

Prime factors of 9281 are 9281. Prime factorization of 9281 in exponential form is:

9281 = 9281¹

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 9281

List of positive integer factors of 9281 that divides 9270 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9270 and 9281. The biggest common factor number is the GCF number.
So the greatest common factor 9270 and 9281 is 1.

Also check out the Least Common Multiple of 9270 and 9281