What is the Greatest Common Factor of 43546 and 43566?

Greatest common factor (GCF) of 43546 and 43566 is 2.

GCF(43546,43566) = 2

We will now calculate the prime factors of 43546 and 43566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43546 and 43566.

How to find the GCF of 43546 and 43566?

We will first find the prime factorization of 43546 and 43566. After we will calculate the factors of 43546 and 43566 and find the biggest common factor number .

Step-1: Prime Factorization of 43546

Prime factors of 43546 are 2, 21773. Prime factorization of 43546 in exponential form is:

43546 = 2¹ × 21773¹

Step-2: 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-3: Factors of 43546

List of positive integer factors of 43546 that divides 43546 without a remainder.

1, 2, 21773

Step-4: Factors of 43566

List of positive integer factors of 43566 that divides 43546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43546 and 43566. The biggest common factor number is the GCF number.
So the greatest common factor 43546 and 43566 is 2.

Also check out the Least Common Multiple of 43546 and 43566