What is the Greatest Common Factor of 71055 and 71073?

Greatest common factor (GCF) of 71055 and 71073 is 9.

GCF(71055,71073) = 9

We will now calculate the prime factors of 71055 and 71073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71055 and 71073.

How to find the GCF of 71055 and 71073?

We will first find the prime factorization of 71055 and 71073. After we will calculate the factors of 71055 and 71073 and find the biggest common factor number .

Step-1: Prime Factorization of 71055

Prime factors of 71055 are 3, 5, 1579. Prime factorization of 71055 in exponential form is:

71055 = 3² × 5¹ × 1579¹

Step-2: 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-3: Factors of 71055

List of positive integer factors of 71055 that divides 71055 without a remainder.

1, 3, 5, 9, 15, 45, 1579, 4737, 7895, 14211, 23685

Step-4: Factors of 71073

List of positive integer factors of 71073 that divides 71055 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71055 and 71073. The biggest common factor number is the GCF number.
So the greatest common factor 71055 and 71073 is 9.

Also check out the Least Common Multiple of 71055 and 71073