What is the Greatest Common Factor of 53924 and 53940?

Greatest common factor (GCF) of 53924 and 53940 is 4.

GCF(53924,53940) = 4

We will now calculate the prime factors of 53924 and 53940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53924 and 53940.

How to find the GCF of 53924 and 53940?

We will first find the prime factorization of 53924 and 53940. After we will calculate the factors of 53924 and 53940 and find the biggest common factor number .

Step-1: Prime Factorization of 53924

Prime factors of 53924 are 2, 13, 17, 61. Prime factorization of 53924 in exponential form is:

53924 = 2² × 13¹ × 17¹ × 61¹

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 53924

List of positive integer factors of 53924 that divides 53924 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 61, 68, 122, 221, 244, 442, 793, 884, 1037, 1586, 2074, 3172, 4148, 13481, 26962

Step-4: Factors of 53940

List of positive integer factors of 53940 that divides 53924 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 53924 and 53940. The biggest common factor number is the GCF number.
So the greatest common factor 53924 and 53940 is 4.

Also check out the Least Common Multiple of 53924 and 53940