What is the Greatest Common Factor of 66114 and 66129?

Greatest common factor (GCF) of 66114 and 66129 is 3.

GCF(66114,66129) = 3

We will now calculate the prime factors of 66114 and 66129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66114 and 66129.

How to find the GCF of 66114 and 66129?

We will first find the prime factorization of 66114 and 66129. After we will calculate the factors of 66114 and 66129 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66129

Prime factors of 66129 are 3, 7, 47, 67. Prime factorization of 66129 in exponential form is:

66129 = 3¹ × 7¹ × 47¹ × 67¹

Step-3: Factors of 66114

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

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

Step-4: Factors of 66129

List of positive integer factors of 66129 that divides 66114 without a remainder.

1, 3, 7, 21, 47, 67, 141, 201, 329, 469, 987, 1407, 3149, 9447, 22043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66114 and 66129. The biggest common factor number is the GCF number.
So the greatest common factor 66114 and 66129 is 3.

Also check out the Least Common Multiple of 66114 and 66129