What is the Greatest Common Factor of 10397 and 10409?

Greatest common factor (GCF) of 10397 and 10409 is 1.

GCF(10397,10409) = 1

We will now calculate the prime factors of 10397 and 10409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10397 and 10409.

How to find the GCF of 10397 and 10409?

We will first find the prime factorization of 10397 and 10409. After we will calculate the factors of 10397 and 10409 and find the biggest common factor number .

Step-1: Prime Factorization of 10397

Prime factors of 10397 are 37, 281. Prime factorization of 10397 in exponential form is:

10397 = 37¹ × 281¹

Step-2: Prime Factorization of 10409

Prime factors of 10409 are 7, 1487. Prime factorization of 10409 in exponential form is:

10409 = 7¹ × 1487¹

Step-3: Factors of 10397

List of positive integer factors of 10397 that divides 10397 without a remainder.

1, 37, 281

Step-4: Factors of 10409

List of positive integer factors of 10409 that divides 10397 without a remainder.

1, 7, 1487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10397 and 10409. The biggest common factor number is the GCF number.
So the greatest common factor 10397 and 10409 is 1.

Also check out the Least Common Multiple of 10397 and 10409