What is the Greatest Common Factor of 51645 and 51660?

Greatest common factor (GCF) of 51645 and 51660 is 15.

GCF(51645,51660) = 15

We will now calculate the prime factors of 51645 and 51660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51645 and 51660.

How to find the GCF of 51645 and 51660?

We will first find the prime factorization of 51645 and 51660. After we will calculate the factors of 51645 and 51660 and find the biggest common factor number .

Step-1: Prime Factorization of 51645

Prime factors of 51645 are 3, 5, 11, 313. Prime factorization of 51645 in exponential form is:

51645 = 3¹ × 5¹ × 11¹ × 313¹

Step-2: Prime Factorization of 51660

Prime factors of 51660 are 2, 3, 5, 7, 41. Prime factorization of 51660 in exponential form is:

51660 = 2² × 3² × 5¹ × 7¹ × 41¹

Step-3: Factors of 51645

List of positive integer factors of 51645 that divides 51645 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 313, 939, 1565, 3443, 4695, 10329, 17215

Step-4: Factors of 51660

List of positive integer factors of 51660 that divides 51645 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 41, 42, 45, 60, 63, 70, 82, 84, 90, 105, 123, 126, 140, 164, 180, 205, 210, 246, 252, 287, 315, 369, 410, 420, 492, 574, 615, 630, 738, 820, 861, 1148, 1230, 1260, 1435, 1476, 1722, 1845, 2460, 2583, 2870, 3444, 3690, 4305, 5166, 5740, 7380, 8610, 10332, 12915, 17220, 25830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51645 and 51660. The biggest common factor number is the GCF number.
So the greatest common factor 51645 and 51660 is 15.

Also check out the Least Common Multiple of 51645 and 51660