What is the Greatest Common Factor of 22361 and 22365?

Greatest common factor (GCF) of 22361 and 22365 is 1.

GCF(22361,22365) = 1

We will now calculate the prime factors of 22361 and 22365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22361 and 22365.

How to find the GCF of 22361 and 22365?

We will first find the prime factorization of 22361 and 22365. After we will calculate the factors of 22361 and 22365 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 22365

Prime factors of 22365 are 3, 5, 7, 71. Prime factorization of 22365 in exponential form is:

22365 = 3² × 5¹ × 7¹ × 71¹

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 22365

List of positive integer factors of 22365 that divides 22361 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 71, 105, 213, 315, 355, 497, 639, 1065, 1491, 2485, 3195, 4473, 7455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22361 and 22365. The biggest common factor number is the GCF number.
So the greatest common factor 22361 and 22365 is 1.

Also check out the Least Common Multiple of 22361 and 22365