What is the Greatest Common Factor of 43566 and 43577?

Greatest common factor (GCF) of 43566 and 43577 is 1.

GCF(43566,43577) = 1

We will now calculate the prime factors of 43566 and 43577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43566 and 43577.

How to find the GCF of 43566 and 43577?

We will first find the prime factorization of 43566 and 43577. After we will calculate the factors of 43566 and 43577 and find the biggest common factor number .

Step-1: Prime Factorization of 43566

Prime factors of 43566 are 2, 3, 53, 137. Prime factorization of 43566 in exponential form is:

43566 = 2¹ × 3¹ × 53¹ × 137¹

Step-2: Prime Factorization of 43577

Prime factors of 43577 are 43577. Prime factorization of 43577 in exponential form is:

43577 = 43577¹

Step-3: Factors of 43566

List of positive integer factors of 43566 that divides 43566 without a remainder.

1, 2, 3, 6, 53, 106, 137, 159, 274, 318, 411, 822, 7261, 14522, 21783

Step-4: Factors of 43577

List of positive integer factors of 43577 that divides 43566 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43566 and 43577. The biggest common factor number is the GCF number.
So the greatest common factor 43566 and 43577 is 1.

Also check out the Least Common Multiple of 43566 and 43577