What is the Greatest Common Factor of 66126 and 66142?

Greatest common factor (GCF) of 66126 and 66142 is 2.

GCF(66126,66142) = 2

We will now calculate the prime factors of 66126 and 66142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66126 and 66142.

How to find the GCF of 66126 and 66142?

We will first find the prime factorization of 66126 and 66142. After we will calculate the factors of 66126 and 66142 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 66142

Prime factors of 66142 are 2, 33071. Prime factorization of 66142 in exponential form is:

66142 = 2¹ × 33071¹

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 66142

List of positive integer factors of 66142 that divides 66126 without a remainder.

1, 2, 33071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66126 and 66142. The biggest common factor number is the GCF number.
So the greatest common factor 66126 and 66142 is 2.

Also check out the Least Common Multiple of 66126 and 66142