What is the Greatest Common Factor of 9222 and 9240?

Greatest common factor (GCF) of 9222 and 9240 is 6.

GCF(9222,9240) = 6

We will now calculate the prime factors of 9222 and 9240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9222 and 9240.

How to find the GCF of 9222 and 9240?

We will first find the prime factorization of 9222 and 9240. After we will calculate the factors of 9222 and 9240 and find the biggest common factor number .

Step-1: Prime Factorization of 9222

Prime factors of 9222 are 2, 3, 29, 53. Prime factorization of 9222 in exponential form is:

9222 = 2¹ × 3¹ × 29¹ × 53¹

Step-2: 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-3: Factors of 9222

List of positive integer factors of 9222 that divides 9222 without a remainder.

1, 2, 3, 6, 29, 53, 58, 87, 106, 159, 174, 318, 1537, 3074, 4611

Step-4: Factors of 9240

List of positive integer factors of 9240 that divides 9222 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9222 and 9240. The biggest common factor number is the GCF number.
So the greatest common factor 9222 and 9240 is 6.

Also check out the Least Common Multiple of 9222 and 9240