What is the Greatest Common Factor of 82083 and 82098?

Greatest common factor (GCF) of 82083 and 82098 is 3.

GCF(82083,82098) = 3

We will now calculate the prime factors of 82083 and 82098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82083 and 82098.

How to find the GCF of 82083 and 82098?

We will first find the prime factorization of 82083 and 82098. After we will calculate the factors of 82083 and 82098 and find the biggest common factor number .

Step-1: Prime Factorization of 82083

Prime factors of 82083 are 3, 27361. Prime factorization of 82083 in exponential form is:

82083 = 3¹ × 27361¹

Step-2: 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-3: Factors of 82083

List of positive integer factors of 82083 that divides 82083 without a remainder.

1, 3, 27361

Step-4: Factors of 82098

List of positive integer factors of 82098 that divides 82083 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82083 and 82098. The biggest common factor number is the GCF number.
So the greatest common factor 82083 and 82098 is 3.

Also check out the Least Common Multiple of 82083 and 82098