What is the Greatest Common Factor of 66142 and 66162?

Greatest common factor (GCF) of 66142 and 66162 is 2.

GCF(66142,66162) = 2

We will now calculate the prime factors of 66142 and 66162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66142 and 66162.

How to find the GCF of 66142 and 66162?

We will first find the prime factorization of 66142 and 66162. After we will calculate the factors of 66142 and 66162 and find the biggest common factor number .

Step-1: Prime Factorization of 66142

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

66142 = 2¹ × 33071¹

Step-2: Prime Factorization of 66162

Prime factors of 66162 are 2, 3, 11027. Prime factorization of 66162 in exponential form is:

66162 = 2¹ × 3¹ × 11027¹

Step-3: Factors of 66142

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

1, 2, 33071

Step-4: Factors of 66162

List of positive integer factors of 66162 that divides 66142 without a remainder.

1, 2, 3, 6, 11027, 22054, 33081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66142 and 66162. The biggest common factor number is the GCF number.
So the greatest common factor 66142 and 66162 is 2.

Also check out the Least Common Multiple of 66142 and 66162