What is the Greatest Common Factor of 54859 and 54873?

Greatest common factor (GCF) of 54859 and 54873 is 7.

GCF(54859,54873) = 7

We will now calculate the prime factors of 54859 and 54873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54859 and 54873.

How to find the GCF of 54859 and 54873?

We will first find the prime factorization of 54859 and 54873. After we will calculate the factors of 54859 and 54873 and find the biggest common factor number .

Step-1: Prime Factorization of 54859

Prime factors of 54859 are 7, 17, 461. Prime factorization of 54859 in exponential form is:

54859 = 7¹ × 17¹ × 461¹

Step-2: Prime Factorization of 54873

Prime factors of 54873 are 3, 7, 13, 67. Prime factorization of 54873 in exponential form is:

54873 = 3² × 7¹ × 13¹ × 67¹

Step-3: Factors of 54859

List of positive integer factors of 54859 that divides 54859 without a remainder.

1, 7, 17, 119, 461, 3227, 7837

Step-4: Factors of 54873

List of positive integer factors of 54873 that divides 54859 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 67, 91, 117, 201, 273, 469, 603, 819, 871, 1407, 2613, 4221, 6097, 7839, 18291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54859 and 54873. The biggest common factor number is the GCF number.
So the greatest common factor 54859 and 54873 is 7.

Also check out the Least Common Multiple of 54859 and 54873