What is the Greatest Common Factor of 9278 and 9282?

Greatest common factor (GCF) of 9278 and 9282 is 2.

GCF(9278,9282) = 2

We will now calculate the prime factors of 9278 and 9282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9278 and 9282.

How to find the GCF of 9278 and 9282?

We will first find the prime factorization of 9278 and 9282. After we will calculate the factors of 9278 and 9282 and find the biggest common factor number .

Step-1: Prime Factorization of 9278

Prime factors of 9278 are 2, 4639. Prime factorization of 9278 in exponential form is:

9278 = 2¹ × 4639¹

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 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1, 2, 4639

Step-4: Factors of 9282

List of positive integer factors of 9282 that divides 9278 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 9278 and 9282. The biggest common factor number is the GCF number.
So the greatest common factor 9278 and 9282 is 2.

Also check out the Least Common Multiple of 9278 and 9282