What is the Greatest Common Factor of 10405 and 10414?

Greatest common factor (GCF) of 10405 and 10414 is 1.

GCF(10405,10414) = 1

We will now calculate the prime factors of 10405 and 10414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10405 and 10414.

How to find the GCF of 10405 and 10414?

We will first find the prime factorization of 10405 and 10414. After we will calculate the factors of 10405 and 10414 and find the biggest common factor number .

Step-1: Prime Factorization of 10405

Prime factors of 10405 are 5, 2081. Prime factorization of 10405 in exponential form is:

10405 = 5¹ × 2081¹

Step-2: Prime Factorization of 10414

Prime factors of 10414 are 2, 41, 127. Prime factorization of 10414 in exponential form is:

10414 = 2¹ × 41¹ × 127¹

Step-3: Factors of 10405

List of positive integer factors of 10405 that divides 10405 without a remainder.

1, 5, 2081

Step-4: Factors of 10414

List of positive integer factors of 10414 that divides 10405 without a remainder.

1, 2, 41, 82, 127, 254, 5207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10405 and 10414. The biggest common factor number is the GCF number.
So the greatest common factor 10405 and 10414 is 1.

Also check out the Least Common Multiple of 10405 and 10414