What is the Greatest Common Factor of 22464 and 22469?

Greatest common factor (GCF) of 22464 and 22469 is 1.

GCF(22464,22469) = 1

We will now calculate the prime factors of 22464 and 22469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22464 and 22469.

How to find the GCF of 22464 and 22469?

We will first find the prime factorization of 22464 and 22469. After we will calculate the factors of 22464 and 22469 and find the biggest common factor number .

Step-1: Prime Factorization of 22464

Prime factors of 22464 are 2, 3, 13. Prime factorization of 22464 in exponential form is:

22464 = 2⁶ × 3³ × 13¹

Step-2: Prime Factorization of 22469

Prime factors of 22469 are 22469. Prime factorization of 22469 in exponential form is:

22469 = 22469¹

Step-3: Factors of 22464

List of positive integer factors of 22464 that divides 22464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 96, 104, 108, 117, 144, 156, 192, 208, 216, 234, 288, 312, 351, 416, 432, 468, 576, 624, 702, 832, 864, 936, 1248, 1404, 1728, 1872, 2496, 2808, 3744, 5616, 7488, 11232

Step-4: Factors of 22469

List of positive integer factors of 22469 that divides 22464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22464 and 22469. The biggest common factor number is the GCF number.
So the greatest common factor 22464 and 22469 is 1.

Also check out the Least Common Multiple of 22464 and 22469