What is the Greatest Common Factor of 54810 and 54817?

Greatest common factor (GCF) of 54810 and 54817 is 7.

GCF(54810,54817) = 7

We will now calculate the prime factors of 54810 and 54817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54810 and 54817.

How to find the GCF of 54810 and 54817?

We will first find the prime factorization of 54810 and 54817. After we will calculate the factors of 54810 and 54817 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 54817

Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:

54817 = 7¹ × 41¹ × 191¹

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 54817

List of positive integer factors of 54817 that divides 54810 without a remainder.

1, 7, 41, 191, 287, 1337, 7831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54810 and 54817. The biggest common factor number is the GCF number.
So the greatest common factor 54810 and 54817 is 7.

Also check out the Least Common Multiple of 54810 and 54817