What is the Greatest Common Factor of 66045 and 66054?

Greatest common factor (GCF) of 66045 and 66054 is 3.

GCF(66045,66054) = 3

We will now calculate the prime factors of 66045 and 66054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66045 and 66054.

How to find the GCF of 66045 and 66054?

We will first find the prime factorization of 66045 and 66054. After we will calculate the factors of 66045 and 66054 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 66054

Prime factors of 66054 are 2, 3, 101, 109. Prime factorization of 66054 in exponential form is:

66054 = 2¹ × 3¹ × 101¹ × 109¹

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 66054

List of positive integer factors of 66054 that divides 66045 without a remainder.

1, 2, 3, 6, 101, 109, 202, 218, 303, 327, 606, 654, 11009, 22018, 33027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66045 and 66054. The biggest common factor number is the GCF number.
So the greatest common factor 66045 and 66054 is 3.

Also check out the Least Common Multiple of 66045 and 66054