What is the Greatest Common Factor of 43947 and 43966?

Greatest common factor (GCF) of 43947 and 43966 is 19.

GCF(43947,43966) = 19

We will now calculate the prime factors of 43947 and 43966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43947 and 43966.

How to find the GCF of 43947 and 43966?

We will first find the prime factorization of 43947 and 43966. After we will calculate the factors of 43947 and 43966 and find the biggest common factor number .

Step-1: Prime Factorization of 43947

Prime factors of 43947 are 3, 19, 257. Prime factorization of 43947 in exponential form is:

43947 = 3² × 19¹ × 257¹

Step-2: Prime Factorization of 43966

Prime factors of 43966 are 2, 13, 19, 89. Prime factorization of 43966 in exponential form is:

43966 = 2¹ × 13¹ × 19¹ × 89¹

Step-3: Factors of 43947

List of positive integer factors of 43947 that divides 43947 without a remainder.

1, 3, 9, 19, 57, 171, 257, 771, 2313, 4883, 14649

Step-4: Factors of 43966

List of positive integer factors of 43966 that divides 43947 without a remainder.

1, 2, 13, 19, 26, 38, 89, 178, 247, 494, 1157, 1691, 2314, 3382, 21983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43947 and 43966. The biggest common factor number is the GCF number.
So the greatest common factor 43947 and 43966 is 19.

Also check out the Least Common Multiple of 43947 and 43966