What is the Greatest Common Factor of 24219 and 24229?

Greatest common factor (GCF) of 24219 and 24229 is 1.

GCF(24219,24229) = 1

We will now calculate the prime factors of 24219 and 24229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24219 and 24229.

How to find the GCF of 24219 and 24229?

We will first find the prime factorization of 24219 and 24229. After we will calculate the factors of 24219 and 24229 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 24229

Prime factors of 24229 are 24229. Prime factorization of 24229 in exponential form is:

24229 = 24229¹

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 24229

List of positive integer factors of 24229 that divides 24219 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24219 and 24229. The biggest common factor number is the GCF number.
So the greatest common factor 24219 and 24229 is 1.

Also check out the Least Common Multiple of 24219 and 24229