What is the Greatest Common Factor of 10414 and 10425?

Greatest common factor (GCF) of 10414 and 10425 is 1.

GCF(10414,10425) = 1

We will now calculate the prime factors of 10414 and 10425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10414 and 10425.

How to find the GCF of 10414 and 10425?

We will first find the prime factorization of 10414 and 10425. After we will calculate the factors of 10414 and 10425 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 10425

Prime factors of 10425 are 3, 5, 139. Prime factorization of 10425 in exponential form is:

10425 = 3¹ × 5² × 139¹

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 10425

List of positive integer factors of 10425 that divides 10414 without a remainder.

1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10414 and 10425. The biggest common factor number is the GCF number.
So the greatest common factor 10414 and 10425 is 1.

Also check out the Least Common Multiple of 10414 and 10425