What is the Greatest Common Factor of 22464 and 22477?

Greatest common factor (GCF) of 22464 and 22477 is 13.

GCF(22464,22477) = 13

We will now calculate the prime factors of 22464 and 22477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22464 and 22477.

How to find the GCF of 22464 and 22477?

We will first find the prime factorization of 22464 and 22477. After we will calculate the factors of 22464 and 22477 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 22477

Prime factors of 22477 are 7, 13, 19. Prime factorization of 22477 in exponential form is:

22477 = 7¹ × 13² × 19¹

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 22477

List of positive integer factors of 22477 that divides 22464 without a remainder.

1, 7, 13, 19, 91, 133, 169, 247, 1183, 1729, 3211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22464 and 22477. The biggest common factor number is the GCF number.
So the greatest common factor 22464 and 22477 is 13.

Also check out the Least Common Multiple of 22464 and 22477