What is the Greatest Common Factor of 53823 and 53831?

Greatest common factor (GCF) of 53823 and 53831 is 1.

GCF(53823,53831) = 1

We will now calculate the prime factors of 53823 and 53831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53823 and 53831.

How to find the GCF of 53823 and 53831?

We will first find the prime factorization of 53823 and 53831. After we will calculate the factors of 53823 and 53831 and find the biggest common factor number .

Step-1: Prime Factorization of 53823

Prime factors of 53823 are 3, 7, 11, 233. Prime factorization of 53823 in exponential form is:

53823 = 3¹ × 7¹ × 11¹ × 233¹

Step-2: Prime Factorization of 53831

Prime factors of 53831 are 53831. Prime factorization of 53831 in exponential form is:

53831 = 53831¹

Step-3: Factors of 53823

List of positive integer factors of 53823 that divides 53823 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 233, 699, 1631, 2563, 4893, 7689, 17941

Step-4: Factors of 53831

List of positive integer factors of 53831 that divides 53823 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53823 and 53831. The biggest common factor number is the GCF number.
So the greatest common factor 53823 and 53831 is 1.

Also check out the Least Common Multiple of 53823 and 53831