What is the Greatest Common Factor of 9240 and 9258?

Greatest common factor (GCF) of 9240 and 9258 is 6.

GCF(9240,9258) = 6

We will now calculate the prime factors of 9240 and 9258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9240 and 9258.

How to find the GCF of 9240 and 9258?

We will first find the prime factorization of 9240 and 9258. After we will calculate the factors of 9240 and 9258 and find the biggest common factor number .

Step-1: Prime Factorization of 9240

Prime factors of 9240 are 2, 3, 5, 7, 11. Prime factorization of 9240 in exponential form is:

9240 = 2³ × 3¹ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 9258

Prime factors of 9258 are 2, 3, 1543. Prime factorization of 9258 in exponential form is:

9258 = 2¹ × 3¹ × 1543¹

Step-3: Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620

Step-4: Factors of 9258

List of positive integer factors of 9258 that divides 9240 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9240 and 9258. The biggest common factor number is the GCF number.
So the greatest common factor 9240 and 9258 is 6.

Also check out the Least Common Multiple of 9240 and 9258