What is the Greatest Common Factor of 71073 and 71091?

Greatest common factor (GCF) of 71073 and 71091 is 9.

GCF(71073,71091) = 9

We will now calculate the prime factors of 71073 and 71091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71073 and 71091.

How to find the GCF of 71073 and 71091?

We will first find the prime factorization of 71073 and 71091. After we will calculate the factors of 71073 and 71091 and find the biggest common factor number .

Step-1: Prime Factorization of 71073

Prime factors of 71073 are 3, 53, 149. Prime factorization of 71073 in exponential form is:

71073 = 3² × 53¹ × 149¹

Step-2: Prime Factorization of 71091

Prime factors of 71091 are 3, 2633. Prime factorization of 71091 in exponential form is:

71091 = 3³ × 2633¹

Step-3: Factors of 71073

List of positive integer factors of 71073 that divides 71073 without a remainder.

1, 3, 9, 53, 149, 159, 447, 477, 1341, 7897, 23691

Step-4: Factors of 71091

List of positive integer factors of 71091 that divides 71073 without a remainder.

1, 3, 9, 27, 2633, 7899, 23697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71073 and 71091. The biggest common factor number is the GCF number.
So the greatest common factor 71073 and 71091 is 9.

Also check out the Least Common Multiple of 71073 and 71091