What is the Greatest Common Factor of 22320 and 22339?

Greatest common factor (GCF) of 22320 and 22339 is 1.

GCF(22320,22339) = 1

We will now calculate the prime factors of 22320 and 22339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22320 and 22339.

How to find the GCF of 22320 and 22339?

We will first find the prime factorization of 22320 and 22339. After we will calculate the factors of 22320 and 22339 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 22339

Prime factors of 22339 are 89, 251. Prime factorization of 22339 in exponential form is:

22339 = 89¹ × 251¹

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 22339

List of positive integer factors of 22339 that divides 22320 without a remainder.

1, 89, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22320 and 22339. The biggest common factor number is the GCF number.
So the greatest common factor 22320 and 22339 is 1.

Also check out the Least Common Multiple of 22320 and 22339