What is the Greatest Common Factor of 53424 and 53441?

Greatest common factor (GCF) of 53424 and 53441 is 1.

GCF(53424,53441) = 1

We will now calculate the prime factors of 53424 and 53441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53424 and 53441.

How to find the GCF of 53424 and 53441?

We will first find the prime factorization of 53424 and 53441. After we will calculate the factors of 53424 and 53441 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53441

Prime factors of 53441 are 53441. Prime factorization of 53441 in exponential form is:

53441 = 53441¹

Step-3: Factors of 53424

List of positive integer factors of 53424 that divides 53424 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

Step-4: Factors of 53441

List of positive integer factors of 53441 that divides 53424 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53424 and 53441. The biggest common factor number is the GCF number.
So the greatest common factor 53424 and 53441 is 1.

Also check out the Least Common Multiple of 53424 and 53441