What is the Greatest Common Factor of 42564 and 42571?

Greatest common factor (GCF) of 42564 and 42571 is 1.

GCF(42564,42571) = 1

We will now calculate the prime factors of 42564 and 42571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42564 and 42571.

How to find the GCF of 42564 and 42571?

We will first find the prime factorization of 42564 and 42571. After we will calculate the factors of 42564 and 42571 and find the biggest common factor number .

Step-1: Prime Factorization of 42564

Prime factors of 42564 are 2, 3, 3547. Prime factorization of 42564 in exponential form is:

42564 = 2² × 3¹ × 3547¹

Step-2: Prime Factorization of 42571

Prime factors of 42571 are 42571. Prime factorization of 42571 in exponential form is:

42571 = 42571¹

Step-3: Factors of 42564

List of positive integer factors of 42564 that divides 42564 without a remainder.

1, 2, 3, 4, 6, 12, 3547, 7094, 10641, 14188, 21282

Step-4: Factors of 42571

List of positive integer factors of 42571 that divides 42564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42564 and 42571. The biggest common factor number is the GCF number.
So the greatest common factor 42564 and 42571 is 1.

Also check out the Least Common Multiple of 42564 and 42571