What is the Greatest Common Factor of 3564 and 3581?

Greatest common factor (GCF) of 3564 and 3581 is 1.

GCF(3564,3581) = 1

We will now calculate the prime factors of 3564 and 3581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3564 and 3581.

How to find the GCF of 3564 and 3581?

We will first find the prime factorization of 3564 and 3581. After we will calculate the factors of 3564 and 3581 and find the biggest common factor number .

Step-1: Prime Factorization of 3564

Prime factors of 3564 are 2, 3, 11. Prime factorization of 3564 in exponential form is:

3564 = 2² × 3⁴ × 11¹

Step-2: Prime Factorization of 3581

Prime factors of 3581 are 3581. Prime factorization of 3581 in exponential form is:

3581 = 3581¹

Step-3: Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782

Step-4: Factors of 3581

List of positive integer factors of 3581 that divides 3564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3564 and 3581. The biggest common factor number is the GCF number.
So the greatest common factor 3564 and 3581 is 1.

Also check out the Least Common Multiple of 3564 and 3581