What is the Greatest Common Factor of 39082 and 39098?

Greatest common factor (GCF) of 39082 and 39098 is 2.

GCF(39082,39098) = 2

We will now calculate the prime factors of 39082 and 39098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39082 and 39098.

How to find the GCF of 39082 and 39098?

We will first find the prime factorization of 39082 and 39098. After we will calculate the factors of 39082 and 39098 and find the biggest common factor number .

Step-1: Prime Factorization of 39082

Prime factors of 39082 are 2, 19541. Prime factorization of 39082 in exponential form is:

39082 = 2¹ × 19541¹

Step-2: Prime Factorization of 39098

Prime factors of 39098 are 2, 113, 173. Prime factorization of 39098 in exponential form is:

39098 = 2¹ × 113¹ × 173¹

Step-3: Factors of 39082

List of positive integer factors of 39082 that divides 39082 without a remainder.

1, 2, 19541

Step-4: Factors of 39098

List of positive integer factors of 39098 that divides 39082 without a remainder.

1, 2, 113, 173, 226, 346, 19549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39082 and 39098. The biggest common factor number is the GCF number.
So the greatest common factor 39082 and 39098 is 2.

Also check out the Least Common Multiple of 39082 and 39098