What is the Greatest Common Factor of 22361 and 22368?

Greatest common factor (GCF) of 22361 and 22368 is 1.

GCF(22361,22368) = 1

We will now calculate the prime factors of 22361 and 22368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22361 and 22368.

How to find the GCF of 22361 and 22368?

We will first find the prime factorization of 22361 and 22368. After we will calculate the factors of 22361 and 22368 and find the biggest common factor number .

Step-1: Prime Factorization of 22361

Prime factors of 22361 are 59, 379. Prime factorization of 22361 in exponential form is:

22361 = 59¹ × 379¹

Step-2: Prime Factorization of 22368

Prime factors of 22368 are 2, 3, 233. Prime factorization of 22368 in exponential form is:

22368 = 2⁵ × 3¹ × 233¹

Step-3: Factors of 22361

List of positive integer factors of 22361 that divides 22361 without a remainder.

1, 59, 379

Step-4: Factors of 22368

List of positive integer factors of 22368 that divides 22361 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22361 and 22368. The biggest common factor number is the GCF number.
So the greatest common factor 22361 and 22368 is 1.

Also check out the Least Common Multiple of 22361 and 22368