What is the Greatest Common Factor of 43980 and 43995?

Greatest common factor (GCF) of 43980 and 43995 is 15.

GCF(43980,43995) = 15

We will now calculate the prime factors of 43980 and 43995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43980 and 43995.

How to find the GCF of 43980 and 43995?

We will first find the prime factorization of 43980 and 43995. After we will calculate the factors of 43980 and 43995 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43995

Prime factors of 43995 are 3, 5, 7, 419. Prime factorization of 43995 in exponential form is:

43995 = 3¹ × 5¹ × 7¹ × 419¹

Step-3: Factors of 43980

List of positive integer factors of 43980 that divides 43980 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

Step-4: Factors of 43995

List of positive integer factors of 43995 that divides 43980 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 419, 1257, 2095, 2933, 6285, 8799, 14665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43980 and 43995. The biggest common factor number is the GCF number.
So the greatest common factor 43980 and 43995 is 15.

Also check out the Least Common Multiple of 43980 and 43995