What is the Greatest Common Factor of 43395 and 43410?

Greatest common factor (GCF) of 43395 and 43410 is 15.

GCF(43395,43410) = 15

We will now calculate the prime factors of 43395 and 43410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43395 and 43410.

How to find the GCF of 43395 and 43410?

We will first find the prime factorization of 43395 and 43410. After we will calculate the factors of 43395 and 43410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43410

Prime factors of 43410 are 2, 3, 5, 1447. Prime factorization of 43410 in exponential form is:

43410 = 2¹ × 3¹ × 5¹ × 1447¹

Step-3: Factors of 43395

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

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

Step-4: Factors of 43410

List of positive integer factors of 43410 that divides 43395 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1447, 2894, 4341, 7235, 8682, 14470, 21705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43395 and 43410. The biggest common factor number is the GCF number.
So the greatest common factor 43395 and 43410 is 15.

Also check out the Least Common Multiple of 43395 and 43410