What is the Greatest Common Factor of 54880 and 54898?

Greatest common factor (GCF) of 54880 and 54898 is 2.

GCF(54880,54898) = 2

We will now calculate the prime factors of 54880 and 54898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54898.

How to find the GCF of 54880 and 54898?

We will first find the prime factorization of 54880 and 54898. After we will calculate the factors of 54880 and 54898 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 54898

Prime factors of 54898 are 2, 27449. Prime factorization of 54898 in exponential form is:

54898 = 2¹ × 27449¹

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 54898

List of positive integer factors of 54898 that divides 54880 without a remainder.

1, 2, 27449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54898. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54898 is 2.

Also check out the Least Common Multiple of 54880 and 54898