What is the Greatest Common Factor of 57645 and 57660?

Greatest common factor (GCF) of 57645 and 57660 is 15.

GCF(57645,57660) = 15

We will now calculate the prime factors of 57645 and 57660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57645 and 57660.

How to find the GCF of 57645 and 57660?

We will first find the prime factorization of 57645 and 57660. After we will calculate the factors of 57645 and 57660 and find the biggest common factor number .

Step-1: Prime Factorization of 57645

Prime factors of 57645 are 3, 5, 7, 61. Prime factorization of 57645 in exponential form is:

57645 = 3³ × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 57660

Prime factors of 57660 are 2, 3, 5, 31. Prime factorization of 57660 in exponential form is:

57660 = 2² × 3¹ × 5¹ × 31²

Step-3: Factors of 57645

List of positive integer factors of 57645 that divides 57645 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 61, 63, 105, 135, 183, 189, 305, 315, 427, 549, 915, 945, 1281, 1647, 2135, 2745, 3843, 6405, 8235, 11529, 19215

Step-4: Factors of 57660

List of positive integer factors of 57660 that divides 57645 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 961, 1860, 1922, 2883, 3844, 4805, 5766, 9610, 11532, 14415, 19220, 28830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57645 and 57660. The biggest common factor number is the GCF number.
So the greatest common factor 57645 and 57660 is 15.

Also check out the Least Common Multiple of 57645 and 57660