What is the Greatest Common Factor of 54880 and 54889?

Greatest common factor (GCF) of 54880 and 54889 is 1.

GCF(54880,54889) = 1

We will now calculate the prime factors of 54880 and 54889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54889.

How to find the GCF of 54880 and 54889?

We will first find the prime factorization of 54880 and 54889. After we will calculate the factors of 54880 and 54889 and find the biggest common factor number .

Step-1: Prime Factorization of 54880

Prime factors of 54880 are 2, 5, 7. Prime factorization of 54880 in exponential form is:

54880 = 2⁵ × 5¹ × 7³

Step-2: Prime Factorization of 54889

Prime factors of 54889 are 131, 419. Prime factorization of 54889 in exponential form is:

54889 = 131¹ × 419¹

Step-3: Factors of 54880

List of positive integer factors of 54880 that divides 54880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1120, 1372, 1568, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 7840, 10976, 13720, 27440

Step-4: Factors of 54889

List of positive integer factors of 54889 that divides 54880 without a remainder.

1, 131, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54889. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54889 is 1.

Also check out the Least Common Multiple of 54880 and 54889