What is the Greatest Common Factor of 9282 and 9296?

Greatest common factor (GCF) of 9282 and 9296 is 14.

GCF(9282,9296) = 14

We will now calculate the prime factors of 9282 and 9296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9282 and 9296.

How to find the GCF of 9282 and 9296?

We will first find the prime factorization of 9282 and 9296. After we will calculate the factors of 9282 and 9296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9296

Prime factors of 9296 are 2, 7, 83. Prime factorization of 9296 in exponential form is:

9296 = 2⁴ × 7¹ × 83¹

Step-3: Factors of 9282

List of positive integer factors of 9282 that divides 9282 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

Step-4: Factors of 9296

List of positive integer factors of 9296 that divides 9282 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9282 and 9296. The biggest common factor number is the GCF number.
So the greatest common factor 9282 and 9296 is 14.

Also check out the Least Common Multiple of 9282 and 9296