What is the Greatest Common Factor of 43965 and 43980?

Greatest common factor (GCF) of 43965 and 43980 is 15.

GCF(43965,43980) = 15

We will now calculate the prime factors of 43965 and 43980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43965 and 43980.

How to find the GCF of 43965 and 43980?

We will first find the prime factorization of 43965 and 43980. After we will calculate the factors of 43965 and 43980 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 43980

Prime factors of 43980 are 2, 3, 5, 733. Prime factorization of 43980 in exponential form is:

43980 = 2² × 3¹ × 5¹ × 733¹

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 43980

List of positive integer factors of 43980 that divides 43965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932, 3665, 4398, 7330, 8796, 10995, 14660, 21990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43965 and 43980. The biggest common factor number is the GCF number.
So the greatest common factor 43965 and 43980 is 15.

Also check out the Least Common Multiple of 43965 and 43980