What is the Greatest Common Factor of 3567 and 3576?

Greatest common factor (GCF) of 3567 and 3576 is 3.

GCF(3567,3576) = 3

We will now calculate the prime factors of 3567 and 3576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3567 and 3576.

How to find the GCF of 3567 and 3576?

We will first find the prime factorization of 3567 and 3576. After we will calculate the factors of 3567 and 3576 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 3576

Prime factors of 3576 are 2, 3, 149. Prime factorization of 3576 in exponential form is:

3576 = 2³ × 3¹ × 149¹

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 3576

List of positive integer factors of 3576 that divides 3567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3567 and 3576. The biggest common factor number is the GCF number.
So the greatest common factor 3567 and 3576 is 3.

Also check out the Least Common Multiple of 3567 and 3576