What is the Greatest Common Factor of 43666 and 43673?

Greatest common factor (GCF) of 43666 and 43673 is 7.

GCF(43666,43673) = 7

We will now calculate the prime factors of 43666 and 43673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43666 and 43673.

How to find the GCF of 43666 and 43673?

We will first find the prime factorization of 43666 and 43673. After we will calculate the factors of 43666 and 43673 and find the biggest common factor number .

Step-1: Prime Factorization of 43666

Prime factors of 43666 are 2, 7, 3119. Prime factorization of 43666 in exponential form is:

43666 = 2¹ × 7¹ × 3119¹

Step-2: Prime Factorization of 43673

Prime factors of 43673 are 7, 17, 367. Prime factorization of 43673 in exponential form is:

43673 = 7¹ × 17¹ × 367¹

Step-3: Factors of 43666

List of positive integer factors of 43666 that divides 43666 without a remainder.

1, 2, 7, 14, 3119, 6238, 21833

Step-4: Factors of 43673

List of positive integer factors of 43673 that divides 43666 without a remainder.

1, 7, 17, 119, 367, 2569, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43666 and 43673. The biggest common factor number is the GCF number.
So the greatest common factor 43666 and 43673 is 7.

Also check out the Least Common Multiple of 43666 and 43673