What is the Greatest Common Factor of 66114 and 66134?

Greatest common factor (GCF) of 66114 and 66134 is 2.

GCF(66114,66134) = 2

We will now calculate the prime factors of 66114 and 66134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66114 and 66134.

How to find the GCF of 66114 and 66134?

We will first find the prime factorization of 66114 and 66134. After we will calculate the factors of 66114 and 66134 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 66134

Prime factors of 66134 are 2, 43, 769. Prime factorization of 66134 in exponential form is:

66134 = 2¹ × 43¹ × 769¹

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 66134

List of positive integer factors of 66134 that divides 66114 without a remainder.

1, 2, 43, 86, 769, 1538, 33067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66114 and 66134. The biggest common factor number is the GCF number.
So the greatest common factor 66114 and 66134 is 2.

Also check out the Least Common Multiple of 66114 and 66134