What is the Greatest Common Factor of 71806 and 71813?

Greatest common factor (GCF) of 71806 and 71813 is 7.

GCF(71806,71813) = 7

We will now calculate the prime factors of 71806 and 71813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71806 and 71813.

How to find the GCF of 71806 and 71813?

We will first find the prime factorization of 71806 and 71813. After we will calculate the factors of 71806 and 71813 and find the biggest common factor number .

Step-1: Prime Factorization of 71806

Prime factors of 71806 are 2, 7, 23, 223. Prime factorization of 71806 in exponential form is:

71806 = 2¹ × 7¹ × 23¹ × 223¹

Step-2: Prime Factorization of 71813

Prime factors of 71813 are 7, 10259. Prime factorization of 71813 in exponential form is:

71813 = 7¹ × 10259¹

Step-3: Factors of 71806

List of positive integer factors of 71806 that divides 71806 without a remainder.

1, 2, 7, 14, 23, 46, 161, 223, 322, 446, 1561, 3122, 5129, 10258, 35903

Step-4: Factors of 71813

List of positive integer factors of 71813 that divides 71806 without a remainder.

1, 7, 10259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71806 and 71813. The biggest common factor number is the GCF number.
So the greatest common factor 71806 and 71813 is 7.

Also check out the Least Common Multiple of 71806 and 71813