What is the Greatest Common Factor of 71082 and 71098?

Greatest common factor (GCF) of 71082 and 71098 is 2.

GCF(71082,71098) = 2

We will now calculate the prime factors of 71082 and 71098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71082 and 71098.

How to find the GCF of 71082 and 71098?

We will first find the prime factorization of 71082 and 71098. After we will calculate the factors of 71082 and 71098 and find the biggest common factor number .

Step-1: Prime Factorization of 71082

Prime factors of 71082 are 2, 3, 11, 359. Prime factorization of 71082 in exponential form is:

71082 = 2¹ × 3² × 11¹ × 359¹

Step-2: Prime Factorization of 71098

Prime factors of 71098 are 2, 19, 1871. Prime factorization of 71098 in exponential form is:

71098 = 2¹ × 19¹ × 1871¹

Step-3: Factors of 71082

List of positive integer factors of 71082 that divides 71082 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 359, 718, 1077, 2154, 3231, 3949, 6462, 7898, 11847, 23694, 35541

Step-4: Factors of 71098

List of positive integer factors of 71098 that divides 71082 without a remainder.

1, 2, 19, 38, 1871, 3742, 35549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71082 and 71098. The biggest common factor number is the GCF number.
So the greatest common factor 71082 and 71098 is 2.

Also check out the Least Common Multiple of 71082 and 71098