What is the Greatest Common Factor of 53406 and 53424?

Greatest common factor (GCF) of 53406 and 53424 is 18.

GCF(53406,53424) = 18

We will now calculate the prime factors of 53406 and 53424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53406 and 53424.

How to find the GCF of 53406 and 53424?

We will first find the prime factorization of 53406 and 53424. After we will calculate the factors of 53406 and 53424 and find the biggest common factor number .

Step-1: Prime Factorization of 53406

Prime factors of 53406 are 2, 3, 23, 43. Prime factorization of 53406 in exponential form is:

53406 = 2¹ × 3³ × 23¹ × 43¹

Step-2: Prime Factorization of 53424

Prime factors of 53424 are 2, 3, 7, 53. Prime factorization of 53424 in exponential form is:

53424 = 2⁴ × 3² × 7¹ × 53¹

Step-3: Factors of 53406

List of positive integer factors of 53406 that divides 53406 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 43, 46, 54, 69, 86, 129, 138, 207, 258, 387, 414, 621, 774, 989, 1161, 1242, 1978, 2322, 2967, 5934, 8901, 17802, 26703

Step-4: Factors of 53424

List of positive integer factors of 53424 that divides 53406 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 53, 56, 63, 72, 84, 106, 112, 126, 144, 159, 168, 212, 252, 318, 336, 371, 424, 477, 504, 636, 742, 848, 954, 1008, 1113, 1272, 1484, 1908, 2226, 2544, 2968, 3339, 3816, 4452, 5936, 6678, 7632, 8904, 13356, 17808, 26712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53406 and 53424. The biggest common factor number is the GCF number.
So the greatest common factor 53406 and 53424 is 18.

Also check out the Least Common Multiple of 53406 and 53424