What is the Greatest Common Factor of 66105 and 66114?

Greatest common factor (GCF) of 66105 and 66114 is 9.

GCF(66105,66114) = 9

We will now calculate the prime factors of 66105 and 66114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66105 and 66114.

How to find the GCF of 66105 and 66114?

We will first find the prime factorization of 66105 and 66114. After we will calculate the factors of 66105 and 66114 and find the biggest common factor number .

Step-1: Prime Factorization of 66105

Prime factors of 66105 are 3, 5, 13, 113. Prime factorization of 66105 in exponential form is:

66105 = 3² × 5¹ × 13¹ × 113¹

Step-2: Prime Factorization of 66114

Prime factors of 66114 are 2, 3, 3673. Prime factorization of 66114 in exponential form is:

66114 = 2¹ × 3² × 3673¹

Step-3: Factors of 66105

List of positive integer factors of 66105 that divides 66105 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 113, 117, 195, 339, 565, 585, 1017, 1469, 1695, 4407, 5085, 7345, 13221, 22035

Step-4: Factors of 66114

List of positive integer factors of 66114 that divides 66105 without a remainder.

1, 2, 3, 6, 9, 18, 3673, 7346, 11019, 22038, 33057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66105 and 66114. The biggest common factor number is the GCF number.
So the greatest common factor 66105 and 66114 is 9.

Also check out the Least Common Multiple of 66105 and 66114