What is the Greatest Common Factor of 66975 and 66990?

Greatest common factor (GCF) of 66975 and 66990 is 15.

GCF(66975,66990) = 15

We will now calculate the prime factors of 66975 and 66990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66975 and 66990.

How to find the GCF of 66975 and 66990?

We will first find the prime factorization of 66975 and 66990. After we will calculate the factors of 66975 and 66990 and find the biggest common factor number .

Step-1: Prime Factorization of 66975

Prime factors of 66975 are 3, 5, 19, 47. Prime factorization of 66975 in exponential form is:

66975 = 3¹ × 5² × 19¹ × 47¹

Step-2: Prime Factorization of 66990

Prime factors of 66990 are 2, 3, 5, 7, 11, 29. Prime factorization of 66990 in exponential form is:

66990 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 66975

List of positive integer factors of 66975 that divides 66975 without a remainder.

1, 3, 5, 15, 19, 25, 47, 57, 75, 95, 141, 235, 285, 475, 705, 893, 1175, 1425, 2679, 3525, 4465, 13395, 22325

Step-4: Factors of 66990

List of positive integer factors of 66990 that divides 66975 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 29, 30, 33, 35, 42, 55, 58, 66, 70, 77, 87, 105, 110, 145, 154, 165, 174, 203, 210, 231, 290, 319, 330, 385, 406, 435, 462, 609, 638, 770, 870, 957, 1015, 1155, 1218, 1595, 1914, 2030, 2233, 2310, 3045, 3190, 4466, 4785, 6090, 6699, 9570, 11165, 13398, 22330, 33495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66975 and 66990. The biggest common factor number is the GCF number.
So the greatest common factor 66975 and 66990 is 15.

Also check out the Least Common Multiple of 66975 and 66990