What is the Greatest Common Factor of 10408 and 10425?

Greatest common factor (GCF) of 10408 and 10425 is 1.

GCF(10408,10425) = 1

We will now calculate the prime factors of 10408 and 10425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10408 and 10425.

How to find the GCF of 10408 and 10425?

We will first find the prime factorization of 10408 and 10425. After we will calculate the factors of 10408 and 10425 and find the biggest common factor number .

Step-1: Prime Factorization of 10408

Prime factors of 10408 are 2, 1301. Prime factorization of 10408 in exponential form is:

10408 = 2³ × 1301¹

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 10408

List of positive integer factors of 10408 that divides 10408 without a remainder.

1, 2, 4, 8, 1301, 2602, 5204

Step-4: Factors of 10425

List of positive integer factors of 10425 that divides 10408 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 10408 and 10425. The biggest common factor number is the GCF number.
So the greatest common factor 10408 and 10425 is 1.

Also check out the Least Common Multiple of 10408 and 10425