What is the Greatest Common Factor of 54795 and 54810?

Greatest common factor (GCF) of 54795 and 54810 is 15.

GCF(54795,54810) = 15

We will now calculate the prime factors of 54795 and 54810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54795 and 54810.

How to find the GCF of 54795 and 54810?

We will first find the prime factorization of 54795 and 54810. After we will calculate the factors of 54795 and 54810 and find the biggest common factor number .

Step-1: Prime Factorization of 54795

Prime factors of 54795 are 3, 5, 13, 281. Prime factorization of 54795 in exponential form is:

54795 = 3¹ × 5¹ × 13¹ × 281¹

Step-2: Prime Factorization of 54810

Prime factors of 54810 are 2, 3, 5, 7, 29. Prime factorization of 54810 in exponential form is:

54810 = 2¹ × 3³ × 5¹ × 7¹ × 29¹

Step-3: Factors of 54795

List of positive integer factors of 54795 that divides 54795 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 281, 843, 1405, 3653, 4215, 10959, 18265

Step-4: Factors of 54810

List of positive integer factors of 54810 that divides 54795 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 29, 30, 35, 42, 45, 54, 58, 63, 70, 87, 90, 105, 126, 135, 145, 174, 189, 203, 210, 261, 270, 290, 315, 378, 406, 435, 522, 609, 630, 783, 870, 945, 1015, 1218, 1305, 1566, 1827, 1890, 2030, 2610, 3045, 3654, 3915, 5481, 6090, 7830, 9135, 10962, 18270, 27405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54795 and 54810. The biggest common factor number is the GCF number.
So the greatest common factor 54795 and 54810 is 15.

Also check out the Least Common Multiple of 54795 and 54810