What is the Greatest Common Factor of 82098 and 82102?

Greatest common factor (GCF) of 82098 and 82102 is 2.

GCF(82098,82102) = 2

We will now calculate the prime factors of 82098 and 82102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82098 and 82102.

How to find the GCF of 82098 and 82102?

We will first find the prime factorization of 82098 and 82102. After we will calculate the factors of 82098 and 82102 and find the biggest common factor number .

Step-1: Prime Factorization of 82098

Prime factors of 82098 are 2, 3, 4561. Prime factorization of 82098 in exponential form is:

82098 = 2¹ × 3² × 4561¹

Step-2: Prime Factorization of 82102

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

82102 = 2¹ × 41051¹

Step-3: Factors of 82098

List of positive integer factors of 82098 that divides 82098 without a remainder.

1, 2, 3, 6, 9, 18, 4561, 9122, 13683, 27366, 41049

Step-4: Factors of 82102

List of positive integer factors of 82102 that divides 82098 without a remainder.

1, 2, 41051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82098 and 82102. The biggest common factor number is the GCF number.
So the greatest common factor 82098 and 82102 is 2.

Also check out the Least Common Multiple of 82098 and 82102