What is the Greatest Common Factor of 10407 and 10414?

Greatest common factor (GCF) of 10407 and 10414 is 1.

GCF(10407,10414) = 1

We will now calculate the prime factors of 10407 and 10414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10407 and 10414.

How to find the GCF of 10407 and 10414?

We will first find the prime factorization of 10407 and 10414. After we will calculate the factors of 10407 and 10414 and find the biggest common factor number .

Step-1: Prime Factorization of 10407

Prime factors of 10407 are 3, 3469. Prime factorization of 10407 in exponential form is:

10407 = 3¹ × 3469¹

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 10407

List of positive integer factors of 10407 that divides 10407 without a remainder.

1, 3, 3469

Step-4: Factors of 10414

List of positive integer factors of 10414 that divides 10407 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10407 and 10414. The biggest common factor number is the GCF number.
So the greatest common factor 10407 and 10414 is 1.

Also check out the Least Common Multiple of 10407 and 10414