What is the Greatest Common Factor of 71082 and 71090?

Greatest common factor (GCF) of 71082 and 71090 is 2.

GCF(71082,71090) = 2

We will now calculate the prime factors of 71082 and 71090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71082 and 71090.

How to find the GCF of 71082 and 71090?

We will first find the prime factorization of 71082 and 71090. After we will calculate the factors of 71082 and 71090 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 71090

Prime factors of 71090 are 2, 5, 7109. Prime factorization of 71090 in exponential form is:

71090 = 2¹ × 5¹ × 7109¹

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 71090

List of positive integer factors of 71090 that divides 71082 without a remainder.

1, 2, 5, 10, 7109, 14218, 35545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71082 and 71090. The biggest common factor number is the GCF number.
So the greatest common factor 71082 and 71090 is 2.

Also check out the Least Common Multiple of 71082 and 71090