What is the Greatest Common Factor of 51660 and 51675?

Greatest common factor (GCF) of 51660 and 51675 is 15.

GCF(51660,51675) = 15

We will now calculate the prime factors of 51660 and 51675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51660 and 51675.

How to find the GCF of 51660 and 51675?

We will first find the prime factorization of 51660 and 51675. After we will calculate the factors of 51660 and 51675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51675

Prime factors of 51675 are 3, 5, 13, 53. Prime factorization of 51675 in exponential form is:

51675 = 3¹ × 5² × 13¹ × 53¹

Step-3: Factors of 51660

List of positive integer factors of 51660 that divides 51660 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

Step-4: Factors of 51675

List of positive integer factors of 51675 that divides 51660 without a remainder.

1, 3, 5, 13, 15, 25, 39, 53, 65, 75, 159, 195, 265, 325, 689, 795, 975, 1325, 2067, 3445, 3975, 10335, 17225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51660 and 51675. The biggest common factor number is the GCF number.
So the greatest common factor 51660 and 51675 is 15.

Also check out the Least Common Multiple of 51660 and 51675