What is the Greatest Common Factor of 22357 and 22377?

Greatest common factor (GCF) of 22357 and 22377 is 1.

GCF(22357,22377) = 1

We will now calculate the prime factors of 22357 and 22377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22357 and 22377.

How to find the GCF of 22357 and 22377?

We will first find the prime factorization of 22357 and 22377. After we will calculate the factors of 22357 and 22377 and find the biggest common factor number .

Step-1: Prime Factorization of 22357

Prime factors of 22357 are 79, 283. Prime factorization of 22357 in exponential form is:

22357 = 79¹ × 283¹

Step-2: Prime Factorization of 22377

Prime factors of 22377 are 3, 7459. Prime factorization of 22377 in exponential form is:

22377 = 3¹ × 7459¹

Step-3: Factors of 22357

List of positive integer factors of 22357 that divides 22357 without a remainder.

1, 79, 283

Step-4: Factors of 22377

List of positive integer factors of 22377 that divides 22357 without a remainder.

1, 3, 7459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22357 and 22377. The biggest common factor number is the GCF number.
So the greatest common factor 22357 and 22377 is 1.

Also check out the Least Common Multiple of 22357 and 22377