What is the Greatest Common Factor of 22464 and 22474?

Greatest common factor (GCF) of 22464 and 22474 is 2.

GCF(22464,22474) = 2

We will now calculate the prime factors of 22464 and 22474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22464 and 22474.

How to find the GCF of 22464 and 22474?

We will first find the prime factorization of 22464 and 22474. After we will calculate the factors of 22464 and 22474 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 22474

Prime factors of 22474 are 2, 17, 661. Prime factorization of 22474 in exponential form is:

22474 = 2¹ × 17¹ × 661¹

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 22474

List of positive integer factors of 22474 that divides 22464 without a remainder.

1, 2, 17, 34, 661, 1322, 11237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22464 and 22474. The biggest common factor number is the GCF number.
So the greatest common factor 22464 and 22474 is 2.

Also check out the Least Common Multiple of 22464 and 22474