What is the Greatest Common Factor of 82162 and 82174?

Greatest common factor (GCF) of 82162 and 82174 is 2.

GCF(82162,82174) = 2

We will now calculate the prime factors of 82162 and 82174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82162 and 82174.

How to find the GCF of 82162 and 82174?

We will first find the prime factorization of 82162 and 82174. After we will calculate the factors of 82162 and 82174 and find the biggest common factor number .

Step-1: Prime Factorization of 82162

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

82162 = 2¹ × 41081¹

Step-2: Prime Factorization of 82174

Prime factors of 82174 are 2, 181, 227. Prime factorization of 82174 in exponential form is:

82174 = 2¹ × 181¹ × 227¹

Step-3: Factors of 82162

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

1, 2, 41081

Step-4: Factors of 82174

List of positive integer factors of 82174 that divides 82162 without a remainder.

1, 2, 181, 227, 362, 454, 41087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82162 and 82174. The biggest common factor number is the GCF number.
So the greatest common factor 82162 and 82174 is 2.

Also check out the Least Common Multiple of 82162 and 82174