What is the Greatest Common Factor of 54675 and 54685?

Greatest common factor (GCF) of 54675 and 54685 is 5.

GCF(54675,54685) = 5

We will now calculate the prime factors of 54675 and 54685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54675 and 54685.

How to find the GCF of 54675 and 54685?

We will first find the prime factorization of 54675 and 54685. After we will calculate the factors of 54675 and 54685 and find the biggest common factor number .

Step-1: Prime Factorization of 54675

Prime factors of 54675 are 3, 5. Prime factorization of 54675 in exponential form is:

54675 = 3⁷ × 5²

Step-2: Prime Factorization of 54685

Prime factors of 54685 are 5, 10937. Prime factorization of 54685 in exponential form is:

54685 = 5¹ × 10937¹

Step-3: Factors of 54675

List of positive integer factors of 54675 that divides 54675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 729, 1215, 2025, 2187, 3645, 6075, 10935, 18225

Step-4: Factors of 54685

List of positive integer factors of 54685 that divides 54675 without a remainder.

1, 5, 10937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54675 and 54685. The biggest common factor number is the GCF number.
So the greatest common factor 54675 and 54685 is 5.

Also check out the Least Common Multiple of 54675 and 54685