What is the Greatest Common Factor of 54872 and 54891?

Greatest common factor (GCF) of 54872 and 54891 is 19.

GCF(54872,54891) = 19

We will now calculate the prime factors of 54872 and 54891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54872 and 54891.

How to find the GCF of 54872 and 54891?

We will first find the prime factorization of 54872 and 54891. After we will calculate the factors of 54872 and 54891 and find the biggest common factor number .

Step-1: Prime Factorization of 54872

Prime factors of 54872 are 2, 19. Prime factorization of 54872 in exponential form is:

54872 = 2³ × 19³

Step-2: Prime Factorization of 54891

Prime factors of 54891 are 3, 19, 107. Prime factorization of 54891 in exponential form is:

54891 = 3³ × 19¹ × 107¹

Step-3: Factors of 54872

List of positive integer factors of 54872 that divides 54872 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888, 6859, 13718, 27436

Step-4: Factors of 54891

List of positive integer factors of 54891 that divides 54872 without a remainder.

1, 3, 9, 19, 27, 57, 107, 171, 321, 513, 963, 2033, 2889, 6099, 18297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54872 and 54891. The biggest common factor number is the GCF number.
So the greatest common factor 54872 and 54891 is 19.

Also check out the Least Common Multiple of 54872 and 54891