What is the Greatest Common Factor of 22361 and 22379?

Greatest common factor (GCF) of 22361 and 22379 is 1.

GCF(22361,22379) = 1

We will now calculate the prime factors of 22361 and 22379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22361 and 22379.

How to find the GCF of 22361 and 22379?

We will first find the prime factorization of 22361 and 22379. After we will calculate the factors of 22361 and 22379 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 22379

Prime factors of 22379 are 7, 23, 139. Prime factorization of 22379 in exponential form is:

22379 = 7¹ × 23¹ × 139¹

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 22379

List of positive integer factors of 22379 that divides 22361 without a remainder.

1, 7, 23, 139, 161, 973, 3197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22361 and 22379. The biggest common factor number is the GCF number.
So the greatest common factor 22361 and 22379 is 1.

Also check out the Least Common Multiple of 22361 and 22379