What is the Greatest Common Factor of 9240 and 9254?

Greatest common factor (GCF) of 9240 and 9254 is 14.

GCF(9240,9254) = 14

We will now calculate the prime factors of 9240 and 9254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9240 and 9254.

How to find the GCF of 9240 and 9254?

We will first find the prime factorization of 9240 and 9254. After we will calculate the factors of 9240 and 9254 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 9254

Prime factors of 9254 are 2, 7, 661. Prime factorization of 9254 in exponential form is:

9254 = 2¹ × 7¹ × 661¹

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 9254

List of positive integer factors of 9254 that divides 9240 without a remainder.

1, 2, 7, 14, 661, 1322, 4627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9240 and 9254. The biggest common factor number is the GCF number.
So the greatest common factor 9240 and 9254 is 14.

Also check out the Least Common Multiple of 9240 and 9254