What is the Greatest Common Factor of 82102 and 82118?

Greatest common factor (GCF) of 82102 and 82118 is 2.

GCF(82102,82118) = 2

We will now calculate the prime factors of 82102 and 82118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82102 and 82118.

How to find the GCF of 82102 and 82118?

We will first find the prime factorization of 82102 and 82118. After we will calculate the factors of 82102 and 82118 and find the biggest common factor number .

Step-1: Prime Factorization of 82102

Prime factors of 82102 are 2, 41051. Prime factorization of 82102 in exponential form is:

82102 = 2¹ × 41051¹

Step-2: Prime Factorization of 82118

Prime factors of 82118 are 2, 19, 2161. Prime factorization of 82118 in exponential form is:

82118 = 2¹ × 19¹ × 2161¹

Step-3: Factors of 82102

List of positive integer factors of 82102 that divides 82102 without a remainder.

1, 2, 41051

Step-4: Factors of 82118

List of positive integer factors of 82118 that divides 82102 without a remainder.

1, 2, 19, 38, 2161, 4322, 41059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82102 and 82118. The biggest common factor number is the GCF number.
So the greatest common factor 82102 and 82118 is 2.

Also check out the Least Common Multiple of 82102 and 82118