What is the Greatest Common Factor of 9270 and 9276?

Greatest common factor (GCF) of 9270 and 9276 is 6.

GCF(9270,9276) = 6

We will now calculate the prime factors of 9270 and 9276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9270 and 9276.

How to find the GCF of 9270 and 9276?

We will first find the prime factorization of 9270 and 9276. After we will calculate the factors of 9270 and 9276 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 9276

Prime factors of 9276 are 2, 3, 773. Prime factorization of 9276 in exponential form is:

9276 = 2² × 3¹ × 773¹

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 9276

List of positive integer factors of 9276 that divides 9270 without a remainder.

1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9270 and 9276. The biggest common factor number is the GCF number.
So the greatest common factor 9270 and 9276 is 6.

Also check out the Least Common Multiple of 9270 and 9276