What is the Greatest Common Factor of 22320 and 22338?

Greatest common factor (GCF) of 22320 and 22338 is 18.

GCF(22320,22338) = 18

We will now calculate the prime factors of 22320 and 22338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22320 and 22338.

How to find the GCF of 22320 and 22338?

We will first find the prime factorization of 22320 and 22338. After we will calculate the factors of 22320 and 22338 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 22338

Prime factors of 22338 are 2, 3, 17, 73. Prime factorization of 22338 in exponential form is:

22338 = 2¹ × 3² × 17¹ × 73¹

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 22338

List of positive integer factors of 22338 that divides 22320 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 73, 102, 146, 153, 219, 306, 438, 657, 1241, 1314, 2482, 3723, 7446, 11169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22320 and 22338. The biggest common factor number is the GCF number.
So the greatest common factor 22320 and 22338 is 18.

Also check out the Least Common Multiple of 22320 and 22338