What is the Greatest Common Factor of 53930 and 53940?

Greatest common factor (GCF) of 53930 and 53940 is 10.

GCF(53930,53940) = 10

We will now calculate the prime factors of 53930 and 53940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53930 and 53940.

How to find the GCF of 53930 and 53940?

We will first find the prime factorization of 53930 and 53940. After we will calculate the factors of 53930 and 53940 and find the biggest common factor number .

Step-1: Prime Factorization of 53930

Prime factors of 53930 are 2, 5, 5393. Prime factorization of 53930 in exponential form is:

53930 = 2¹ × 5¹ × 5393¹

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 53930

List of positive integer factors of 53930 that divides 53930 without a remainder.

1, 2, 5, 10, 5393, 10786, 26965

Step-4: Factors of 53940

List of positive integer factors of 53940 that divides 53930 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 53930 and 53940. The biggest common factor number is the GCF number.
So the greatest common factor 53930 and 53940 is 10.

Also check out the Least Common Multiple of 53930 and 53940