What is the Greatest Common Factor of 71578 and 71591?

Greatest common factor (GCF) of 71578 and 71591 is 13.

GCF(71578,71591) = 13

We will now calculate the prime factors of 71578 and 71591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71578 and 71591.

How to find the GCF of 71578 and 71591?

We will first find the prime factorization of 71578 and 71591. After we will calculate the factors of 71578 and 71591 and find the biggest common factor number .

Step-1: Prime Factorization of 71578

Prime factors of 71578 are 2, 13, 2753. Prime factorization of 71578 in exponential form is:

71578 = 2¹ × 13¹ × 2753¹

Step-2: Prime Factorization of 71591

Prime factors of 71591 are 13, 5507. Prime factorization of 71591 in exponential form is:

71591 = 13¹ × 5507¹

Step-3: Factors of 71578

List of positive integer factors of 71578 that divides 71578 without a remainder.

1, 2, 13, 26, 2753, 5506, 35789

Step-4: Factors of 71591

List of positive integer factors of 71591 that divides 71578 without a remainder.

1, 13, 5507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71578 and 71591. The biggest common factor number is the GCF number.
So the greatest common factor 71578 and 71591 is 13.

Also check out the Least Common Multiple of 71578 and 71591