What is the Greatest Common Factor of 82142 and 82162?

Greatest common factor (GCF) of 82142 and 82162 is 2.

GCF(82142,82162) = 2

We will now calculate the prime factors of 82142 and 82162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82142 and 82162.

How to find the GCF of 82142 and 82162?

We will first find the prime factorization of 82142 and 82162. After we will calculate the factors of 82142 and 82162 and find the biggest common factor number .

Step-1: Prime Factorization of 82142

Prime factors of 82142 are 2, 67, 613. Prime factorization of 82142 in exponential form is:

82142 = 2¹ × 67¹ × 613¹

Step-2: Prime Factorization of 82162

Prime factors of 82162 are 2, 41081. Prime factorization of 82162 in exponential form is:

82162 = 2¹ × 41081¹

Step-3: Factors of 82142

List of positive integer factors of 82142 that divides 82142 without a remainder.

1, 2, 67, 134, 613, 1226, 41071

Step-4: Factors of 82162

List of positive integer factors of 82162 that divides 82142 without a remainder.

1, 2, 41081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82142 and 82162. The biggest common factor number is the GCF number.
So the greatest common factor 82142 and 82162 is 2.

Also check out the Least Common Multiple of 82142 and 82162