What is the Greatest Common Factor of 53923 and 53940?

Greatest common factor (GCF) of 53923 and 53940 is 1.

GCF(53923,53940) = 1

We will now calculate the prime factors of 53923 and 53940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53923 and 53940.

How to find the GCF of 53923 and 53940?

We will first find the prime factorization of 53923 and 53940. After we will calculate the factors of 53923 and 53940 and find the biggest common factor number .

Step-1: Prime Factorization of 53923

Prime factors of 53923 are 53923. Prime factorization of 53923 in exponential form is:

53923 = 53923¹

Step-2: Prime Factorization of 53940

Prime factors of 53940 are 2, 3, 5, 29, 31. Prime factorization of 53940 in exponential form is:

53940 = 2² × 3¹ × 5¹ × 29¹ × 31¹

Step-3: Factors of 53923

List of positive integer factors of 53923 that divides 53923 without a remainder.

Step-4: Factors of 53940

List of positive integer factors of 53940 that divides 53923 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 31, 58, 60, 62, 87, 93, 116, 124, 145, 155, 174, 186, 290, 310, 348, 372, 435, 465, 580, 620, 870, 899, 930, 1740, 1798, 1860, 2697, 3596, 4495, 5394, 8990, 10788, 13485, 17980, 26970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53923 and 53940. The biggest common factor number is the GCF number.
So the greatest common factor 53923 and 53940 is 1.

Also check out the Least Common Multiple of 53923 and 53940