What is the Greatest Common Factor of 54880 and 54887?

Greatest common factor (GCF) of 54880 and 54887 is 7.

GCF(54880,54887) = 7

We will now calculate the prime factors of 54880 and 54887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54887.

How to find the GCF of 54880 and 54887?

We will first find the prime factorization of 54880 and 54887. After we will calculate the factors of 54880 and 54887 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 54887

Prime factors of 54887 are 7, 7841. Prime factorization of 54887 in exponential form is:

54887 = 7¹ × 7841¹

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 54887

List of positive integer factors of 54887 that divides 54880 without a remainder.

1, 7, 7841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54887. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54887 is 7.

Also check out the Least Common Multiple of 54880 and 54887