What is the Greatest Common Factor of 53920 and 53940?

Greatest common factor (GCF) of 53920 and 53940 is 20.

GCF(53920,53940) = 20

We will now calculate the prime factors of 53920 and 53940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53920 and 53940.

How to find the GCF of 53920 and 53940?

We will first find the prime factorization of 53920 and 53940. After we will calculate the factors of 53920 and 53940 and find the biggest common factor number .

Step-1: Prime Factorization of 53920

Prime factors of 53920 are 2, 5, 337. Prime factorization of 53920 in exponential form is:

53920 = 2⁵ × 5¹ × 337¹

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 53920

List of positive integer factors of 53920 that divides 53920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 10784, 13480, 26960

Step-4: Factors of 53940

List of positive integer factors of 53940 that divides 53920 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 53920 and 53940. The biggest common factor number is the GCF number.
So the greatest common factor 53920 and 53940 is 20.

Also check out the Least Common Multiple of 53920 and 53940