What is the Greatest Common Factor of 71557 and 71566?

Greatest common factor (GCF) of 71557 and 71566 is 1.

GCF(71557,71566) = 1

We will now calculate the prime factors of 71557 and 71566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71557 and 71566.

How to find the GCF of 71557 and 71566?

We will first find the prime factorization of 71557 and 71566. After we will calculate the factors of 71557 and 71566 and find the biggest common factor number .

Step-1: Prime Factorization of 71557

Prime factors of 71557 are 163, 439. Prime factorization of 71557 in exponential form is:

71557 = 163¹ × 439¹

Step-2: 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-3: Factors of 71557

List of positive integer factors of 71557 that divides 71557 without a remainder.

1, 163, 439

Step-4: Factors of 71566

List of positive integer factors of 71566 that divides 71557 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71557 and 71566. The biggest common factor number is the GCF number.
So the greatest common factor 71557 and 71566 is 1.

Also check out the Least Common Multiple of 71557 and 71566