What is the Greatest Common Factor of 20564 and 20571?

Greatest common factor (GCF) of 20564 and 20571 is 1.

GCF(20564,20571) = 1

We will now calculate the prime factors of 20564 and 20571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20564 and 20571.

How to find the GCF of 20564 and 20571?

We will first find the prime factorization of 20564 and 20571. After we will calculate the factors of 20564 and 20571 and find the biggest common factor number .

Step-1: Prime Factorization of 20564

Prime factors of 20564 are 2, 53, 97. Prime factorization of 20564 in exponential form is:

20564 = 2² × 53¹ × 97¹

Step-2: Prime Factorization of 20571

Prime factors of 20571 are 3, 6857. Prime factorization of 20571 in exponential form is:

20571 = 3¹ × 6857¹

Step-3: Factors of 20564

List of positive integer factors of 20564 that divides 20564 without a remainder.

1, 2, 4, 53, 97, 106, 194, 212, 388, 5141, 10282

Step-4: Factors of 20571

List of positive integer factors of 20571 that divides 20564 without a remainder.

1, 3, 6857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20564 and 20571. The biggest common factor number is the GCF number.
So the greatest common factor 20564 and 20571 is 1.

Also check out the Least Common Multiple of 20564 and 20571