What is the Greatest Common Factor of 43410 and 43414?

Greatest common factor (GCF) of 43410 and 43414 is 2.

GCF(43410,43414) = 2

We will now calculate the prime factors of 43410 and 43414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43410 and 43414.

How to find the GCF of 43410 and 43414?

We will first find the prime factorization of 43410 and 43414. After we will calculate the factors of 43410 and 43414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43414

Prime factors of 43414 are 2, 7, 443. Prime factorization of 43414 in exponential form is:

43414 = 2¹ × 7² × 443¹

Step-3: Factors of 43410

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

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

Step-4: Factors of 43414

List of positive integer factors of 43414 that divides 43410 without a remainder.

1, 2, 7, 14, 49, 98, 443, 886, 3101, 6202, 21707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43410 and 43414. The biggest common factor number is the GCF number.
So the greatest common factor 43410 and 43414 is 2.

Also check out the Least Common Multiple of 43410 and 43414