What is the Greatest Common Factor of 54880 and 54890?

Greatest common factor (GCF) of 54880 and 54890 is 10.

GCF(54880,54890) = 10

We will now calculate the prime factors of 54880 and 54890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54890.

How to find the GCF of 54880 and 54890?

We will first find the prime factorization of 54880 and 54890. After we will calculate the factors of 54880 and 54890 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 54890

Prime factors of 54890 are 2, 5, 11, 499. Prime factorization of 54890 in exponential form is:

54890 = 2¹ × 5¹ × 11¹ × 499¹

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 54890

List of positive integer factors of 54890 that divides 54880 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 499, 998, 2495, 4990, 5489, 10978, 27445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54890. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54890 is 10.

Also check out the Least Common Multiple of 54880 and 54890