What is the Greatest Common Factor of 54675 and 54680?

Greatest common factor (GCF) of 54675 and 54680 is 5.

GCF(54675,54680) = 5

We will now calculate the prime factors of 54675 and 54680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54675 and 54680.

How to find the GCF of 54675 and 54680?

We will first find the prime factorization of 54675 and 54680. After we will calculate the factors of 54675 and 54680 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 54680

Prime factors of 54680 are 2, 5, 1367. Prime factorization of 54680 in exponential form is:

54680 = 2³ × 5¹ × 1367¹

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 54680

List of positive integer factors of 54680 that divides 54675 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1367, 2734, 5468, 6835, 10936, 13670, 27340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54675 and 54680. The biggest common factor number is the GCF number.
So the greatest common factor 54675 and 54680 is 5.

Also check out the Least Common Multiple of 54675 and 54680