What is the Greatest Common Factor of 22320 and 22335?

Greatest common factor (GCF) of 22320 and 22335 is 15.

GCF(22320,22335) = 15

We will now calculate the prime factors of 22320 and 22335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22320 and 22335.

How to find the GCF of 22320 and 22335?

We will first find the prime factorization of 22320 and 22335. After we will calculate the factors of 22320 and 22335 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 22335

Prime factors of 22335 are 3, 5, 1489. Prime factorization of 22335 in exponential form is:

22335 = 3¹ × 5¹ × 1489¹

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 22335

List of positive integer factors of 22335 that divides 22320 without a remainder.

1, 3, 5, 15, 1489, 4467, 7445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22320 and 22335. The biggest common factor number is the GCF number.
So the greatest common factor 22320 and 22335 is 15.

Also check out the Least Common Multiple of 22320 and 22335