What is the Greatest Common Factor of 66045 and 66060?

Greatest common factor (GCF) of 66045 and 66060 is 15.

GCF(66045,66060) = 15

We will now calculate the prime factors of 66045 and 66060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66045 and 66060.

How to find the GCF of 66045 and 66060?

We will first find the prime factorization of 66045 and 66060. After we will calculate the factors of 66045 and 66060 and find the biggest common factor number .

Step-1: Prime Factorization of 66045

Prime factors of 66045 are 3, 5, 7, 17, 37. Prime factorization of 66045 in exponential form is:

66045 = 3¹ × 5¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 66060

Prime factors of 66060 are 2, 3, 5, 367. Prime factorization of 66060 in exponential form is:

66060 = 2² × 3² × 5¹ × 367¹

Step-3: Factors of 66045

List of positive integer factors of 66045 that divides 66045 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 37, 51, 85, 105, 111, 119, 185, 255, 259, 357, 555, 595, 629, 777, 1295, 1785, 1887, 3145, 3885, 4403, 9435, 13209, 22015

Step-4: Factors of 66060

List of positive integer factors of 66060 that divides 66045 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 367, 734, 1101, 1468, 1835, 2202, 3303, 3670, 4404, 5505, 6606, 7340, 11010, 13212, 16515, 22020, 33030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66045 and 66060. The biggest common factor number is the GCF number.
So the greatest common factor 66045 and 66060 is 15.

Also check out the Least Common Multiple of 66045 and 66060