What is the Greatest Common Factor of 71082 and 71097?

Greatest common factor (GCF) of 71082 and 71097 is 3.

GCF(71082,71097) = 3

We will now calculate the prime factors of 71082 and 71097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71082 and 71097.

How to find the GCF of 71082 and 71097?

We will first find the prime factorization of 71082 and 71097. After we will calculate the factors of 71082 and 71097 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 71097

Prime factors of 71097 are 3, 13, 1823. Prime factorization of 71097 in exponential form is:

71097 = 3¹ × 13¹ × 1823¹

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 71097

List of positive integer factors of 71097 that divides 71082 without a remainder.

1, 3, 13, 39, 1823, 5469, 23699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71082 and 71097. The biggest common factor number is the GCF number.
So the greatest common factor 71082 and 71097 is 3.

Also check out the Least Common Multiple of 71082 and 71097