What is the Greatest Common Factor of 71566 and 71586?

Greatest common factor (GCF) of 71566 and 71586 is 2.

GCF(71566,71586) = 2

We will now calculate the prime factors of 71566 and 71586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71566 and 71586.

How to find the GCF of 71566 and 71586?

We will first find the prime factorization of 71566 and 71586. After we will calculate the factors of 71566 and 71586 and find the biggest common factor number .

Step-1: Prime Factorization of 71566

Prime factors of 71566 are 2, 11, 3253. Prime factorization of 71566 in exponential form is:

71566 = 2¹ × 11¹ × 3253¹

Step-2: Prime Factorization of 71586

Prime factors of 71586 are 2, 3, 41, 97. Prime factorization of 71586 in exponential form is:

71586 = 2¹ × 3² × 41¹ × 97¹

Step-3: Factors of 71566

List of positive integer factors of 71566 that divides 71566 without a remainder.

1, 2, 11, 22, 3253, 6506, 35783

Step-4: Factors of 71586

List of positive integer factors of 71586 that divides 71566 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 97, 123, 194, 246, 291, 369, 582, 738, 873, 1746, 3977, 7954, 11931, 23862, 35793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71566 and 71586. The biggest common factor number is the GCF number.
So the greatest common factor 71566 and 71586 is 2.

Also check out the Least Common Multiple of 71566 and 71586