What is the Greatest Common Factor of 43380 and 43395?

Greatest common factor (GCF) of 43380 and 43395 is 15.

GCF(43380,43395) = 15

We will now calculate the prime factors of 43380 and 43395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43380 and 43395.

How to find the GCF of 43380 and 43395?

We will first find the prime factorization of 43380 and 43395. After we will calculate the factors of 43380 and 43395 and find the biggest common factor number .

Step-1: Prime Factorization of 43380

Prime factors of 43380 are 2, 3, 5, 241. Prime factorization of 43380 in exponential form is:

43380 = 2² × 3² × 5¹ × 241¹

Step-2: Prime Factorization of 43395

Prime factors of 43395 are 3, 5, 11, 263. Prime factorization of 43395 in exponential form is:

43395 = 3¹ × 5¹ × 11¹ × 263¹

Step-3: Factors of 43380

List of positive integer factors of 43380 that divides 43380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 241, 482, 723, 964, 1205, 1446, 2169, 2410, 2892, 3615, 4338, 4820, 7230, 8676, 10845, 14460, 21690

Step-4: Factors of 43395

List of positive integer factors of 43395 that divides 43380 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 263, 789, 1315, 2893, 3945, 8679, 14465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43380 and 43395. The biggest common factor number is the GCF number.
So the greatest common factor 43380 and 43395 is 15.

Also check out the Least Common Multiple of 43380 and 43395