What is the Greatest Common Factor of 10414 and 10427?

Greatest common factor (GCF) of 10414 and 10427 is 1.

GCF(10414,10427) = 1

We will now calculate the prime factors of 10414 and 10427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10414 and 10427.

How to find the GCF of 10414 and 10427?

We will first find the prime factorization of 10414 and 10427. After we will calculate the factors of 10414 and 10427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10427

Prime factors of 10427 are 10427. Prime factorization of 10427 in exponential form is:

10427 = 10427¹

Step-3: Factors of 10414

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

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

Step-4: Factors of 10427

List of positive integer factors of 10427 that divides 10414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10414 and 10427. The biggest common factor number is the GCF number.
So the greatest common factor 10414 and 10427 is 1.

Also check out the Least Common Multiple of 10414 and 10427