What is the Greatest Common Factor of 22399 and 22412?

Greatest common factor (GCF) of 22399 and 22412 is 13.

GCF(22399,22412) = 13

We will now calculate the prime factors of 22399 and 22412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22399 and 22412.

How to find the GCF of 22399 and 22412?

We will first find the prime factorization of 22399 and 22412. After we will calculate the factors of 22399 and 22412 and find the biggest common factor number .

Step-1: Prime Factorization of 22399

Prime factors of 22399 are 13, 1723. Prime factorization of 22399 in exponential form is:

22399 = 13¹ × 1723¹

Step-2: Prime Factorization of 22412

Prime factors of 22412 are 2, 13, 431. Prime factorization of 22412 in exponential form is:

22412 = 2² × 13¹ × 431¹

Step-3: Factors of 22399

List of positive integer factors of 22399 that divides 22399 without a remainder.

1, 13, 1723

Step-4: Factors of 22412

List of positive integer factors of 22412 that divides 22399 without a remainder.

1, 2, 4, 13, 26, 52, 431, 862, 1724, 5603, 11206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22399 and 22412. The biggest common factor number is the GCF number.
So the greatest common factor 22399 and 22412 is 13.

Also check out the Least Common Multiple of 22399 and 22412