What is the Greatest Common Factor of 43965 and 43983?

Greatest common factor (GCF) of 43965 and 43983 is 9.

GCF(43965,43983) = 9

We will now calculate the prime factors of 43965 and 43983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43965 and 43983.

How to find the GCF of 43965 and 43983?

We will first find the prime factorization of 43965 and 43983. After we will calculate the factors of 43965 and 43983 and find the biggest common factor number .

Step-1: Prime Factorization of 43965

Prime factors of 43965 are 3, 5, 977. Prime factorization of 43965 in exponential form is:

43965 = 3² × 5¹ × 977¹

Step-2: Prime Factorization of 43983

Prime factors of 43983 are 3, 181. Prime factorization of 43983 in exponential form is:

43983 = 3⁵ × 181¹

Step-3: Factors of 43965

List of positive integer factors of 43965 that divides 43965 without a remainder.

1, 3, 5, 9, 15, 45, 977, 2931, 4885, 8793, 14655

Step-4: Factors of 43983

List of positive integer factors of 43983 that divides 43965 without a remainder.

1, 3, 9, 27, 81, 181, 243, 543, 1629, 4887, 14661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43965 and 43983. The biggest common factor number is the GCF number.
So the greatest common factor 43965 and 43983 is 9.

Also check out the Least Common Multiple of 43965 and 43983