What is the Greatest Common Factor of 43947 and 43963?

Greatest common factor (GCF) of 43947 and 43963 is 1.

GCF(43947,43963) = 1

We will now calculate the prime factors of 43947 and 43963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43947 and 43963.

How to find the GCF of 43947 and 43963?

We will first find the prime factorization of 43947 and 43963. After we will calculate the factors of 43947 and 43963 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 43963

Prime factors of 43963 are 43963. Prime factorization of 43963 in exponential form is:

43963 = 43963¹

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 43963

List of positive integer factors of 43963 that divides 43947 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43947 and 43963. The biggest common factor number is the GCF number.
So the greatest common factor 43947 and 43963 is 1.

Also check out the Least Common Multiple of 43947 and 43963