What is the Greatest Common Factor of 53382 and 53401?

Greatest common factor (GCF) of 53382 and 53401 is 1.

GCF(53382,53401) = 1

We will now calculate the prime factors of 53382 and 53401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53382 and 53401.

How to find the GCF of 53382 and 53401?

We will first find the prime factorization of 53382 and 53401. After we will calculate the factors of 53382 and 53401 and find the biggest common factor number .

Step-1: Prime Factorization of 53382

Prime factors of 53382 are 2, 3, 7, 31, 41. Prime factorization of 53382 in exponential form is:

53382 = 2¹ × 3¹ × 7¹ × 31¹ × 41¹

Step-2: Prime Factorization of 53401

Prime factors of 53401 are 53401. Prime factorization of 53401 in exponential form is:

53401 = 53401¹

Step-3: Factors of 53382

List of positive integer factors of 53382 that divides 53382 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 41, 42, 62, 82, 93, 123, 186, 217, 246, 287, 434, 574, 651, 861, 1271, 1302, 1722, 2542, 3813, 7626, 8897, 17794, 26691

Step-4: Factors of 53401

List of positive integer factors of 53401 that divides 53382 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53382 and 53401. The biggest common factor number is the GCF number.
So the greatest common factor 53382 and 53401 is 1.

Also check out the Least Common Multiple of 53382 and 53401