What is the Greatest Common Factor of 10414 and 10429?

Greatest common factor (GCF) of 10414 and 10429 is 1.

GCF(10414,10429) = 1

We will now calculate the prime factors of 10414 and 10429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10414 and 10429.

How to find the GCF of 10414 and 10429?

We will first find the prime factorization of 10414 and 10429. After we will calculate the factors of 10414 and 10429 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 10429

Prime factors of 10429 are 10429. Prime factorization of 10429 in exponential form is:

10429 = 10429¹

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 10429

List of positive integer factors of 10429 that divides 10414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10414 and 10429. The biggest common factor number is the GCF number.
So the greatest common factor 10414 and 10429 is 1.

Also check out the Least Common Multiple of 10414 and 10429