What is the Greatest Common Factor of 66045 and 66057?

Greatest common factor (GCF) of 66045 and 66057 is 3.

GCF(66045,66057) = 3

We will now calculate the prime factors of 66045 and 66057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66045 and 66057.

How to find the GCF of 66045 and 66057?

We will first find the prime factorization of 66045 and 66057. After we will calculate the factors of 66045 and 66057 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 66057

Prime factors of 66057 are 3, 97, 227. Prime factorization of 66057 in exponential form is:

66057 = 3¹ × 97¹ × 227¹

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 66057

List of positive integer factors of 66057 that divides 66045 without a remainder.

1, 3, 97, 227, 291, 681, 22019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66045 and 66057. The biggest common factor number is the GCF number.
So the greatest common factor 66045 and 66057 is 3.

Also check out the Least Common Multiple of 66045 and 66057