What is the Greatest Common Factor of 3567 and 3571?

Greatest common factor (GCF) of 3567 and 3571 is 1.

GCF(3567,3571) = 1

We will now calculate the prime factors of 3567 and 3571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3567 and 3571.

How to find the GCF of 3567 and 3571?

We will first find the prime factorization of 3567 and 3571. After we will calculate the factors of 3567 and 3571 and find the biggest common factor number .

Step-1: Prime Factorization of 3567

Prime factors of 3567 are 3, 29, 41. Prime factorization of 3567 in exponential form is:

3567 = 3¹ × 29¹ × 41¹

Step-2: Prime Factorization of 3571

Prime factors of 3571 are 3571. Prime factorization of 3571 in exponential form is:

3571 = 3571¹

Step-3: Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1, 3, 29, 41, 87, 123, 1189

Step-4: Factors of 3571

List of positive integer factors of 3571 that divides 3567 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3567 and 3571. The biggest common factor number is the GCF number.
So the greatest common factor 3567 and 3571 is 1.

Also check out the Least Common Multiple of 3567 and 3571