What is the Greatest Common Factor of 22452 and 22464?

Greatest common factor (GCF) of 22452 and 22464 is 12.

GCF(22452,22464) = 12

We will now calculate the prime factors of 22452 and 22464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22452 and 22464.

How to find the GCF of 22452 and 22464?

We will first find the prime factorization of 22452 and 22464. After we will calculate the factors of 22452 and 22464 and find the biggest common factor number .

Step-1: Prime Factorization of 22452

Prime factors of 22452 are 2, 3, 1871. Prime factorization of 22452 in exponential form is:

22452 = 2² × 3¹ × 1871¹

Step-2: 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-3: Factors of 22452

List of positive integer factors of 22452 that divides 22452 without a remainder.

1, 2, 3, 4, 6, 12, 1871, 3742, 5613, 7484, 11226

Step-4: Factors of 22464

List of positive integer factors of 22464 that divides 22452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22452 and 22464. The biggest common factor number is the GCF number.
So the greatest common factor 22452 and 22464 is 12.

Also check out the Least Common Multiple of 22452 and 22464