What is the Greatest Common Factor of 54880 and 54894?

Greatest common factor (GCF) of 54880 and 54894 is 14.

GCF(54880,54894) = 14

We will now calculate the prime factors of 54880 and 54894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54880 and 54894.

How to find the GCF of 54880 and 54894?

We will first find the prime factorization of 54880 and 54894. After we will calculate the factors of 54880 and 54894 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 54894

Prime factors of 54894 are 2, 3, 7, 1307. Prime factorization of 54894 in exponential form is:

54894 = 2¹ × 3¹ × 7¹ × 1307¹

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 54894

List of positive integer factors of 54894 that divides 54880 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1307, 2614, 3921, 7842, 9149, 18298, 27447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54880 and 54894. The biggest common factor number is the GCF number.
So the greatest common factor 54880 and 54894 is 14.

Also check out the Least Common Multiple of 54880 and 54894