What is the Greatest Common Factor of 54894 and 54908?

Greatest common factor (GCF) of 54894 and 54908 is 14.

GCF(54894,54908) = 14

We will now calculate the prime factors of 54894 and 54908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54894 and 54908.

How to find the GCF of 54894 and 54908?

We will first find the prime factorization of 54894 and 54908. After we will calculate the factors of 54894 and 54908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54908

Prime factors of 54908 are 2, 7, 37, 53. Prime factorization of 54908 in exponential form is:

54908 = 2² × 7¹ × 37¹ × 53¹

Step-3: Factors of 54894

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

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

Step-4: Factors of 54908

List of positive integer factors of 54908 that divides 54894 without a remainder.

1, 2, 4, 7, 14, 28, 37, 53, 74, 106, 148, 212, 259, 371, 518, 742, 1036, 1484, 1961, 3922, 7844, 13727, 27454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54894 and 54908. The biggest common factor number is the GCF number.
So the greatest common factor 54894 and 54908 is 14.

Also check out the Least Common Multiple of 54894 and 54908