What is the Greatest Common Factor of 9273 and 9282?

Greatest common factor (GCF) of 9273 and 9282 is 3.

GCF(9273,9282) = 3

We will now calculate the prime factors of 9273 and 9282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9273 and 9282.

How to find the GCF of 9273 and 9282?

We will first find the prime factorization of 9273 and 9282. After we will calculate the factors of 9273 and 9282 and find the biggest common factor number .

Step-1: Prime Factorization of 9273

Prime factors of 9273 are 3, 11, 281. Prime factorization of 9273 in exponential form is:

9273 = 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 9282

Prime factors of 9282 are 2, 3, 7, 13, 17. Prime factorization of 9282 in exponential form is:

9282 = 2¹ × 3¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1, 3, 11, 33, 281, 843, 3091

Step-4: Factors of 9282

List of positive integer factors of 9282 that divides 9273 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9273 and 9282. The biggest common factor number is the GCF number.
So the greatest common factor 9273 and 9282 is 3.

Also check out the Least Common Multiple of 9273 and 9282