What is the Greatest Common Factor of 1564 and 1571?

Greatest common factor (GCF) of 1564 and 1571 is 1.

GCF(1564,1571) = 1

We will now calculate the prime factors of 1564 and 1571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1564 and 1571.

How to find the GCF of 1564 and 1571?

We will first find the prime factorization of 1564 and 1571. After we will calculate the factors of 1564 and 1571 and find the biggest common factor number .

Step-1: Prime Factorization of 1564

Prime factors of 1564 are 2, 17, 23. Prime factorization of 1564 in exponential form is:

1564 = 2² × 17¹ × 23¹

Step-2: Prime Factorization of 1571

Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:

1571 = 1571¹

Step-3: Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782

Step-4: Factors of 1571

List of positive integer factors of 1571 that divides 1564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1564 and 1571. The biggest common factor number is the GCF number.
So the greatest common factor 1564 and 1571 is 1.

Also check out the Least Common Multiple of 1564 and 1571