What is the Greatest Common Factor of 71065 and 71073?

Greatest common factor (GCF) of 71065 and 71073 is 1.

GCF(71065,71073) = 1

We will now calculate the prime factors of 71065 and 71073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71065 and 71073.

How to find the GCF of 71065 and 71073?

We will first find the prime factorization of 71065 and 71073. After we will calculate the factors of 71065 and 71073 and find the biggest common factor number .

Step-1: Prime Factorization of 71065

Prime factors of 71065 are 5, 61, 233. Prime factorization of 71065 in exponential form is:

71065 = 5¹ × 61¹ × 233¹

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 71065

List of positive integer factors of 71065 that divides 71065 without a remainder.

1, 5, 61, 233, 305, 1165, 14213

Step-4: Factors of 71073

List of positive integer factors of 71073 that divides 71065 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 71065 and 71073. The biggest common factor number is the GCF number.
So the greatest common factor 71065 and 71073 is 1.

Also check out the Least Common Multiple of 71065 and 71073