What is the Greatest Common Factor of 22380 and 22397?

Greatest common factor (GCF) of 22380 and 22397 is 1.

GCF(22380,22397) = 1

We will now calculate the prime factors of 22380 and 22397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22380 and 22397.

How to find the GCF of 22380 and 22397?

We will first find the prime factorization of 22380 and 22397. After we will calculate the factors of 22380 and 22397 and find the biggest common factor number .

Step-1: Prime Factorization of 22380

Prime factors of 22380 are 2, 3, 5, 373. Prime factorization of 22380 in exponential form is:

22380 = 2² × 3¹ × 5¹ × 373¹

Step-2: Prime Factorization of 22397

Prime factors of 22397 are 22397. Prime factorization of 22397 in exponential form is:

22397 = 22397¹

Step-3: Factors of 22380

List of positive integer factors of 22380 that divides 22380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 373, 746, 1119, 1492, 1865, 2238, 3730, 4476, 5595, 7460, 11190

Step-4: Factors of 22397

List of positive integer factors of 22397 that divides 22380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22380 and 22397. The biggest common factor number is the GCF number.
So the greatest common factor 22380 and 22397 is 1.

Also check out the Least Common Multiple of 22380 and 22397