What is the Greatest Common Factor of 54924 and 54940?

Greatest common factor (GCF) of 54924 and 54940 is 4.

GCF(54924,54940) = 4

We will now calculate the prime factors of 54924 and 54940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54924 and 54940.

How to find the GCF of 54924 and 54940?

We will first find the prime factorization of 54924 and 54940. After we will calculate the factors of 54924 and 54940 and find the biggest common factor number .

Step-1: Prime Factorization of 54924

Prime factors of 54924 are 2, 3, 23, 199. Prime factorization of 54924 in exponential form is:

54924 = 2² × 3¹ × 23¹ × 199¹

Step-2: Prime Factorization of 54940

Prime factors of 54940 are 2, 5, 41, 67. Prime factorization of 54940 in exponential form is:

54940 = 2² × 5¹ × 41¹ × 67¹

Step-3: Factors of 54924

List of positive integer factors of 54924 that divides 54924 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 199, 276, 398, 597, 796, 1194, 2388, 4577, 9154, 13731, 18308, 27462

Step-4: Factors of 54940

List of positive integer factors of 54940 that divides 54924 without a remainder.

1, 2, 4, 5, 10, 20, 41, 67, 82, 134, 164, 205, 268, 335, 410, 670, 820, 1340, 2747, 5494, 10988, 13735, 27470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54924 and 54940. The biggest common factor number is the GCF number.
So the greatest common factor 54924 and 54940 is 4.

Also check out the Least Common Multiple of 54924 and 54940