What is the Greatest Common Factor of 22320 and 22329?

Greatest common factor (GCF) of 22320 and 22329 is 9.

GCF(22320,22329) = 9

We will now calculate the prime factors of 22320 and 22329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22320 and 22329.

How to find the GCF of 22320 and 22329?

We will first find the prime factorization of 22320 and 22329. After we will calculate the factors of 22320 and 22329 and find the biggest common factor number .

Step-1: Prime Factorization of 22320

Prime factors of 22320 are 2, 3, 5, 31. Prime factorization of 22320 in exponential form is:

22320 = 2⁴ × 3² × 5¹ × 31¹

Step-2: Prime Factorization of 22329

Prime factors of 22329 are 3, 827. Prime factorization of 22329 in exponential form is:

22329 = 3³ × 827¹

Step-3: Factors of 22320

List of positive integer factors of 22320 that divides 22320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 36, 40, 45, 48, 60, 62, 72, 80, 90, 93, 120, 124, 144, 155, 180, 186, 240, 248, 279, 310, 360, 372, 465, 496, 558, 620, 720, 744, 930, 1116, 1240, 1395, 1488, 1860, 2232, 2480, 2790, 3720, 4464, 5580, 7440, 11160

Step-4: Factors of 22329

List of positive integer factors of 22329 that divides 22320 without a remainder.

1, 3, 9, 27, 827, 2481, 7443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22320 and 22329. The biggest common factor number is the GCF number.
So the greatest common factor 22320 and 22329 is 9.

Also check out the Least Common Multiple of 22320 and 22329