What is the Greatest Common Factor of 66126 and 66134?

Greatest common factor (GCF) of 66126 and 66134 is 2.

GCF(66126,66134) = 2

We will now calculate the prime factors of 66126 and 66134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66126 and 66134.

How to find the GCF of 66126 and 66134?

We will first find the prime factorization of 66126 and 66134. After we will calculate the factors of 66126 and 66134 and find the biggest common factor number .

Step-1: Prime Factorization of 66126

Prime factors of 66126 are 2, 3, 103, 107. Prime factorization of 66126 in exponential form is:

66126 = 2¹ × 3¹ × 103¹ × 107¹

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 66126

List of positive integer factors of 66126 that divides 66126 without a remainder.

1, 2, 3, 6, 103, 107, 206, 214, 309, 321, 618, 642, 11021, 22042, 33063

Step-4: Factors of 66134

List of positive integer factors of 66134 that divides 66126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66126 and 66134. The biggest common factor number is the GCF number.
So the greatest common factor 66126 and 66134 is 2.

Also check out the Least Common Multiple of 66126 and 66134