What is the Greatest Common Factor of 54924 and 54942?

Greatest common factor (GCF) of 54924 and 54942 is 6.

GCF(54924,54942) = 6

We will now calculate the prime factors of 54924 and 54942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54924 and 54942.

How to find the GCF of 54924 and 54942?

We will first find the prime factorization of 54924 and 54942. After we will calculate the factors of 54924 and 54942 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 54942

Prime factors of 54942 are 2, 3, 9157. Prime factorization of 54942 in exponential form is:

54942 = 2¹ × 3¹ × 9157¹

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 54942

List of positive integer factors of 54942 that divides 54924 without a remainder.

1, 2, 3, 6, 9157, 18314, 27471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54924 and 54942. The biggest common factor number is the GCF number.
So the greatest common factor 54924 and 54942 is 6.

Also check out the Least Common Multiple of 54924 and 54942