What is the Greatest Common Factor of 54873 and 54886?

Greatest common factor (GCF) of 54873 and 54886 is 13.

GCF(54873,54886) = 13

We will now calculate the prime factors of 54873 and 54886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54873 and 54886.

How to find the GCF of 54873 and 54886?

We will first find the prime factorization of 54873 and 54886. After we will calculate the factors of 54873 and 54886 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54886

Prime factors of 54886 are 2, 13, 2111. Prime factorization of 54886 in exponential form is:

54886 = 2¹ × 13¹ × 2111¹

Step-3: Factors of 54873

List of positive integer factors of 54873 that divides 54873 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

Step-4: Factors of 54886

List of positive integer factors of 54886 that divides 54873 without a remainder.

1, 2, 13, 26, 2111, 4222, 27443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54873 and 54886. The biggest common factor number is the GCF number.
So the greatest common factor 54873 and 54886 is 13.

Also check out the Least Common Multiple of 54873 and 54886