What is the Greatest Common Factor of 22407 and 22413?

Greatest common factor (GCF) of 22407 and 22413 is 3.

GCF(22407,22413) = 3

We will now calculate the prime factors of 22407 and 22413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22407 and 22413.

How to find the GCF of 22407 and 22413?

We will first find the prime factorization of 22407 and 22413. After we will calculate the factors of 22407 and 22413 and find the biggest common factor number .

Step-1: Prime Factorization of 22407

Prime factors of 22407 are 3, 7, 11, 97. Prime factorization of 22407 in exponential form is:

22407 = 3¹ × 7¹ × 11¹ × 97¹

Step-2: Prime Factorization of 22413

Prime factors of 22413 are 3, 31, 241. Prime factorization of 22413 in exponential form is:

22413 = 3¹ × 31¹ × 241¹

Step-3: Factors of 22407

List of positive integer factors of 22407 that divides 22407 without a remainder.

1, 3, 7, 11, 21, 33, 77, 97, 231, 291, 679, 1067, 2037, 3201, 7469

Step-4: Factors of 22413

List of positive integer factors of 22413 that divides 22407 without a remainder.

1, 3, 31, 93, 241, 723, 7471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22407 and 22413. The biggest common factor number is the GCF number.
So the greatest common factor 22407 and 22413 is 3.

Also check out the Least Common Multiple of 22407 and 22413