What is the Greatest Common Factor of 98082 and 98086?

Greatest common factor (GCF) of 98082 and 98086 is 2.

GCF(98082,98086) = 2

We will now calculate the prime factors of 98082 and 98086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98082 and 98086.

How to find the GCF of 98082 and 98086?

We will first find the prime factorization of 98082 and 98086. After we will calculate the factors of 98082 and 98086 and find the biggest common factor number .

Step-1: Prime Factorization of 98082

Prime factors of 98082 are 2, 3, 5449. Prime factorization of 98082 in exponential form is:

98082 = 2¹ × 3² × 5449¹

Step-2: Prime Factorization of 98086

Prime factors of 98086 are 2, 49043. Prime factorization of 98086 in exponential form is:

98086 = 2¹ × 49043¹

Step-3: Factors of 98082

List of positive integer factors of 98082 that divides 98082 without a remainder.

1, 2, 3, 6, 9, 18, 5449, 10898, 16347, 32694, 49041

Step-4: Factors of 98086

List of positive integer factors of 98086 that divides 98082 without a remainder.

1, 2, 49043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98082 and 98086. The biggest common factor number is the GCF number.
So the greatest common factor 98082 and 98086 is 2.

Also check out the Least Common Multiple of 98082 and 98086