What is the Greatest Common Factor of 54678 and 54690?

Greatest common factor (GCF) of 54678 and 54690 is 6.

GCF(54678,54690) = 6

We will now calculate the prime factors of 54678 and 54690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54678 and 54690.

How to find the GCF of 54678 and 54690?

We will first find the prime factorization of 54678 and 54690. After we will calculate the factors of 54678 and 54690 and find the biggest common factor number .

Step-1: Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 2¹ × 3¹ × 13¹ × 701¹

Step-2: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-3: Factors of 54678

List of positive integer factors of 54678 that divides 54678 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 701, 1402, 2103, 4206, 9113, 18226, 27339

Step-4: Factors of 54690

List of positive integer factors of 54690 that divides 54678 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54678 and 54690. The biggest common factor number is the GCF number.
So the greatest common factor 54678 and 54690 is 6.

Also check out the Least Common Multiple of 54678 and 54690