What is the Greatest Common Factor of 54880 and 54888?

Greatest common factor (GCF) of 54880 and 54888 is 8.

GCF(54880,54888) = 8

We will now calculate the prime factors of 54880 and 54888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54888.

How to find the GCF of 54880 and 54888?

We will first find the prime factorization of 54880 and 54888. After we will calculate the factors of 54880 and 54888 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 54888

Prime factors of 54888 are 2, 3, 2287. Prime factorization of 54888 in exponential form is:

54888 = 2³ × 3¹ × 2287¹

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 54888

List of positive integer factors of 54888 that divides 54880 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2287, 4574, 6861, 9148, 13722, 18296, 27444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54888. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54888 is 8.

Also check out the Least Common Multiple of 54880 and 54888