What is the Greatest Common Factor of 54810 and 54825?

Greatest common factor (GCF) of 54810 and 54825 is 15.

GCF(54810,54825) = 15

We will now calculate the prime factors of 54810 and 54825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54810 and 54825.

How to find the GCF of 54810 and 54825?

We will first find the prime factorization of 54810 and 54825. After we will calculate the factors of 54810 and 54825 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54825

Prime factors of 54825 are 3, 5, 17, 43. Prime factorization of 54825 in exponential form is:

54825 = 3¹ × 5² × 17¹ × 43¹

Step-3: Factors of 54810

List of positive integer factors of 54810 that divides 54810 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

Step-4: Factors of 54825

List of positive integer factors of 54825 that divides 54810 without a remainder.

1, 3, 5, 15, 17, 25, 43, 51, 75, 85, 129, 215, 255, 425, 645, 731, 1075, 1275, 2193, 3225, 3655, 10965, 18275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54810 and 54825. The biggest common factor number is the GCF number.
So the greatest common factor 54810 and 54825 is 15.

Also check out the Least Common Multiple of 54810 and 54825