What is the Greatest Common Factor of 24219 and 24227?

Greatest common factor (GCF) of 24219 and 24227 is 1.

GCF(24219,24227) = 1

We will now calculate the prime factors of 24219 and 24227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24219 and 24227.

How to find the GCF of 24219 and 24227?

We will first find the prime factorization of 24219 and 24227. After we will calculate the factors of 24219 and 24227 and find the biggest common factor number .

Step-1: Prime Factorization of 24219

Prime factors of 24219 are 3, 13, 23. Prime factorization of 24219 in exponential form is:

24219 = 3⁴ × 13¹ × 23¹

Step-2: Prime Factorization of 24227

Prime factors of 24227 are 7, 3461. Prime factorization of 24227 in exponential form is:

24227 = 7¹ × 3461¹

Step-3: Factors of 24219

List of positive integer factors of 24219 that divides 24219 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 81, 117, 207, 299, 351, 621, 897, 1053, 1863, 2691, 8073

Step-4: Factors of 24227

List of positive integer factors of 24227 that divides 24219 without a remainder.

1, 7, 3461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24219 and 24227. The biggest common factor number is the GCF number.
So the greatest common factor 24219 and 24227 is 1.

Also check out the Least Common Multiple of 24219 and 24227