What is the Greatest Common Factor of 43569 and 43581?

Greatest common factor (GCF) of 43569 and 43581 is 3.

GCF(43569,43581) = 3

We will now calculate the prime factors of 43569 and 43581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43569 and 43581.

How to find the GCF of 43569 and 43581?

We will first find the prime factorization of 43569 and 43581. After we will calculate the factors of 43569 and 43581 and find the biggest common factor number .

Step-1: Prime Factorization of 43569

Prime factors of 43569 are 3, 47, 103. Prime factorization of 43569 in exponential form is:

43569 = 3² × 47¹ × 103¹

Step-2: Prime Factorization of 43581

Prime factors of 43581 are 3, 73, 199. Prime factorization of 43581 in exponential form is:

43581 = 3¹ × 73¹ × 199¹

Step-3: Factors of 43569

List of positive integer factors of 43569 that divides 43569 without a remainder.

1, 3, 9, 47, 103, 141, 309, 423, 927, 4841, 14523

Step-4: Factors of 43581

List of positive integer factors of 43581 that divides 43569 without a remainder.

1, 3, 73, 199, 219, 597, 14527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43569 and 43581. The biggest common factor number is the GCF number.
So the greatest common factor 43569 and 43581 is 3.

Also check out the Least Common Multiple of 43569 and 43581