What is the Greatest Common Factor of 43410 and 43429?

Greatest common factor (GCF) of 43410 and 43429 is 1.

GCF(43410,43429) = 1

We will now calculate the prime factors of 43410 and 43429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43410 and 43429.

How to find the GCF of 43410 and 43429?

We will first find the prime factorization of 43410 and 43429. After we will calculate the factors of 43410 and 43429 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 43429

Prime factors of 43429 are 137, 317. Prime factorization of 43429 in exponential form is:

43429 = 137¹ × 317¹

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 43429

List of positive integer factors of 43429 that divides 43410 without a remainder.

1, 137, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43410 and 43429. The biggest common factor number is the GCF number.
So the greatest common factor 43410 and 43429 is 1.

Also check out the Least Common Multiple of 43410 and 43429